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Simplifying 10 + -1(4z + -7) = 2 + -5z Reorder the terms: 10 + -1(-7 + 4z) = 2 + -5z 10 + (-7 * -1 + 4z * -1) = 2 + -5z 10 + (7 + -4z) = 2 + -5z Combine like terms: 10 + 7 = 17 17 + -4z = 2 + -5z Solving 17 + -4z = 2 + -5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '5z' to each side of the equation. 17 + -4z + 5z = 2 + -5z + 5z Combine like terms: -4z + 5z = 1z 17 + 1z = 2 + -5z + 5z Combine like terms: -5z + 5z = 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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