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Simplifying 9(z + -8) = 10z + -7 Reorder the terms: 9(-8 + z) = 10z + -7 (-8 * 9 + z * 9) = 10z + -7 (-72 + 9z) = 10z + -7 Reorder the terms: -72 + 9z = -7 + 10z Solving -72 + 9z = -7 + 10z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-10z' to each side of the equation. -72 + 9z + -10z = -7 + 10z + -10z Combine like terms: 9z + -10z = -1z -72 + -1z = -7 + 10z + -10z Combine like terms: 10z + -10z = 0 -72 + -1z = -7 + 0 -72 + -1z = -7 Add '72' to each side of the equation. -72 + 72 + -1z = -7 + 72 Combine like terms: -72 + 72 = 0 0 + -1z = -7 + 72 -1z = -7 + 72 Combine like terms: -7 + 72 = 65 -1z = 65 Divide each side by '-1'. z = -65 Simplifying z = -65
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