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Simplifying -15z + -1(2z + 13) = 7z + 11 Reorder the terms: -15z + -1(13 + 2z) = 7z + 11 -15z + (13 * -1 + 2z * -1) = 7z + 11 -15z + (-13 + -2z) = 7z + 11 Reorder the terms: -13 + -15z + -2z = 7z + 11 Combine like terms: -15z + -2z = -17z -13 + -17z = 7z + 11 Reorder the terms: -13 + -17z = 11 + 7z Solving -13 + -17z = 11 + 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. -13 + -17z + -7z = 11 + 7z + -7z Combine like terms: -17z + -7z = -24z -13 + -24z = 11 + 7z + -7z Combine like terms: 7z + -7z = 0 -13 + -24z = 11 + 0 -13 + -24z = 11 Add '13' to each side of the equation. -13 + 13 + -24z = 11 + 13 Combine like terms: -13 + 13 = 0 0 + -24z = 11 + 13 -24z = 11 + 13 Combine like terms: 11 + 13 = 24 -24z = 24 Divide each side by '-24'. z = -1 Simplifying z = -1
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