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Simplifying 15 = -5 + 7(z + -6) Reorder the terms: 15 = -5 + 7(-6 + z) 15 = -5 + (-6 * 7 + z * 7) 15 = -5 + (-42 + 7z) Combine like terms: -5 + -42 = -47 15 = -47 + 7z Solving 15 = -47 + 7z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-7z' to each side of the equation. 15 + -7z = -47 + 7z + -7z Combine like terms: 7z + -7z = 0 15 + -7z = -47 + 0 15 + -7z = -47 Add '-15' to each side of the equation. 15 + -15 + -7z = -47 + -15 Combine like terms: 15 + -15 = 0 0 + -7z = -47 + -15 -7z = -47 + -15 Combine like terms: -47 + -15 = -62 -7z = -62 Divide each side by '-7'. z = 8.857142857 Simplifying z = 8.857142857
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