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Simplifying 10 + -1(2z + -7) = 2 + -3z Reorder the terms: 10 + -1(-7 + 2z) = 2 + -3z 10 + (-7 * -1 + 2z * -1) = 2 + -3z 10 + (7 + -2z) = 2 + -3z Combine like terms: 10 + 7 = 17 17 + -2z = 2 + -3z Solving 17 + -2z = 2 + -3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '3z' to each side of the equation. 17 + -2z + 3z = 2 + -3z + 3z Combine like terms: -2z + 3z = 1z 17 + 1z = 2 + -3z + 3z Combine like terms: -3z + 3z = 0 17 + 1z = 2 + 0 17 + 1z = 2 Add '-17' to each side of the equation. 17 + -17 + 1z = 2 + -17 Combine like terms: 17 + -17 = 0 0 + 1z = 2 + -17 1z = 2 + -17 Combine like terms: 2 + -17 = -15 1z = -15 Divide each side by '1'. z = -15 Simplifying z = -15
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