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Simplifying -7(z + -6) = -72 Reorder the terms: -7(-6 + z) = -72 (-6 * -7 + z * -7) = -72 (42 + -7z) = -72 Solving 42 + -7z = -72 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + -42 + -7z = -72 + -42 Combine like terms: 42 + -42 = 0 0 + -7z = -72 + -42 -7z = -72 + -42 Combine like terms: -72 + -42 = -114 -7z = -114 Divide each side by '-7'. z = 16.28571429 Simplifying z = 16.28571429
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