Move terms with s: First, we want to get all the terms with s on one side of the equation and the constant terms on the other side. To do this, we can add 83s to both sides of the equation to move the term with s from the left side to the right side.85−83s+83s=2−s+83s85=2−s+83s
Combine terms with s: Now, we combine the terms with s on the right side of the equation.2−s+83s= 2−88s+83s= 2−(88−83)s= 2−85s
Rewrite equation: Next, we rewrite the equation after combining the terms with s.85=2−(85)sTo isolate the variable term, we need to subtract 2 from both sides of the equation.85−2=−(85)s
Subtract to isolate: We convert 2 to a fraction with a denominator of 8 to combine it with 85. 85−816=−(85)s−811=−(85)s
Convert to fractions: Now, we solve for s by dividing both sides of the equation by −85.−811÷−85=sTo divide by a fraction, we multiply by its reciprocal.−811×−58=s
Solve for s: We simplify the multiplication by canceling out the common factors.−11×−1=s11=s
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