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Simplifying 7 + -1(2z + -8) = 3 + -3z Reorder the terms: 7 + -1(-8 + 2z) = 3 + -3z 7 + (-8 * -1 + 2z * -1) = 3 + -3z 7 + (8 + -2z) = 3 + -3z Combine like terms: 7 + 8 = 15 15 + -2z = 3 + -3z Solving 15 + -2z = 3 + -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. 15 + -2z + 3z = 3 + -3z + 3z Combine like terms: -2z + 3z = 1z 15 + 1z = 3 + -3z + 3z Combine like terms: -3z + 3z = 0 15 + 1z = 3 + 0 15 + 1z = 3 Add '-15' to each side of the equation. 15 + -15 + 1z = 3 + -15 Combine like terms: 15 + -15 = 0 0 + 1z = 3 + -15 1z = 3 + -15 Combine like terms: 3 + -15 = -12 1z = -12 Divide each side by '1'. z = -12 Simplifying z = -12
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