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Simplifying 5(z + 2) = 6(2z + -3) Reorder the terms: 5(2 + z) = 6(2z + -3) (2 * 5 + z * 5) = 6(2z + -3) (10 + 5z) = 6(2z + -3) Reorder the terms: 10 + 5z = 6(-3 + 2z) 10 + 5z = (-3 * 6 + 2z * 6) 10 + 5z = (-18 + 12z) Solving 10 + 5z = -18 + 12z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-12z' to each side of the equation. 10 + 5z + -12z = -18 + 12z + -12z Combine like terms: 5z + -12z = -7z 10 + -7z = -18 + 12z + -12z Combine like terms: 12z + -12z = 0 10 + -7z = -18 + 0 10 + -7z = -18 Add '-10' to each side of the equation. 10 + -10 + -7z = -18 + -10 Combine like terms: 10 + -10 = 0 0 + -7z = -18 + -10 -7z = -18 + -10 Combine like terms: -18 + -10 = -28 -7z = -28 Divide each side by '-7'. z = 4 Simplifying z = 4
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