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Simplifying 12 = 15(z + -5.1) Reorder the terms: 12 = 15(-5.1 + z) 12 = (-5.1 * 15 + z * 15) 12 = (-76.5 + 15z) Solving 12 = -76.5 + 15z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-15z' to each side of the equation. 12 + -15z = -76.5 + 15z + -15z Combine like terms: 15z + -15z = 0 12 + -15z = -76.5 + 0 12 + -15z = -76.5 Add '-12' to each side of the equation. 12 + -12 + -15z = -76.5 + -12 Combine like terms: 12 + -12 = 0 0 + -15z = -76.5 + -12 -15z = -76.5 + -12 Combine like terms: -76.5 + -12 = -88.5 -15z = -88.5 Divide each side by '-15'. z = 5.9 Simplifying z = 5.9
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