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Simplifying 10 + -1(3z + -7) = 3 + -4z Reorder the terms: 10 + -1(-7 + 3z) = 3 + -4z 10 + (-7 * -1 + 3z * -1) = 3 + -4z 10 + (7 + -3z) = 3 + -4z Combine like terms: 10 + 7 = 17 17 + -3z = 3 + -4z Solving 17 + -3z = 3 + -4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '4z' to each side of the equation. 17 + -3z + 4z = 3 + -4z + 4z Combine like terms: -3z + 4z = 1z 17 + 1z = 3 + -4z + 4z Combine like terms: -4z + 4z = 0 17 + 1z = 3 + 0 17 + 1z = 3 Add '-17' to each side of the equation. 17 + -17 + 1z = 3 + -17 Combine like terms: 17 + -17 = 0 0 + 1z = 3 + -17 1z = 3 + -17 Combine like terms: 3 + -17 = -14 1z = -14 Divide each side by '1'. z = -14 Simplifying z = -14
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