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Solve for z. 42=-7(z-3) z=

Solve for z z .\newline42=−7(z−3) 42=-7(z-3) \newlinez= z=

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Full solution

Q. Solve for z z .\newline42=−7(z−3) 42=-7(z-3) \newlinez= z=
  1. Distribute −7-7: First, distribute the −7-7 into the parentheses on the right side of the equation.\newline42=−7(z−3)42 = -7(z - 3)\newline42=−7z+2142 = -7z + 21
  2. Isolate variable term: Next, isolate the variable term by moving the constant on the right side to the left side of the equation.\newline42−21=−7z42 - 21 = -7z\newline21=−7z21 = -7z
  3. Divide by −7-7: Now, divide both sides by −7-7 to solve for zz.21−7=−7z−7\frac{21}{-7} = \frac{-7z}{-7}−3=z-3 = z

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