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Simplifying 7(z + -12) = 3(z + -13) Reorder the terms: 7(-12 + z) = 3(z + -13) (-12 * 7 + z * 7) = 3(z + -13) (-84 + 7z) = 3(z + -13) Reorder the terms: -84 + 7z = 3(-13 + z) -84 + 7z = (-13 * 3 + z * 3) -84 + 7z = (-39 + 3z) Solving -84 + 7z = -39 + 3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3z' to each side of the equation. -84 + 7z + -3z = -39 + 3z + -3z Combine like terms: 7z + -3z = 4z -84 + 4z = -39 + 3z + -3z Combine like terms: 3z + -3z = 0 -84 + 4z = -39 + 0 -84 + 4z = -39 Add '84' to each side of the equation. -84 + 84 + 4z = -39 + 84 Combine like terms: -84 + 84 = 0 0 + 4z = -39 + 84 4z = -39 + 84 Combine like terms: -39 + 84 = 45 4z = 45 Divide each side by '4'. z = 11.25 Simplifying z = 11.25
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