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Simplifying -15z + -40 = 23 + -8z Reorder the terms: -40 + -15z = 23 + -8z Solving -40 + -15z = 23 + -8z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '8z' to each side of the equation. -40 + -15z + 8z = 23 + -8z + 8z Combine like terms: -15z + 8z = -7z -40 + -7z = 23 + -8z + 8z Combine like terms: -8z + 8z = 0 -40 + -7z = 23 + 0 -40 + -7z = 23 Add '40' to each side of the equation. -40 + 40 + -7z = 23 + 40 Combine like terms: -40 + 40 = 0 0 + -7z = 23 + 40 -7z = 23 + 40 Combine like terms: 23 + 40 = 63 -7z = 63 Divide each side by '-7'. z = -9 Simplifying z = -9
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