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Simplifying 7 + -1(2z + -5) = 4 + -3z Reorder the terms: 7 + -1(-5 + 2z) = 4 + -3z 7 + (-5 * -1 + 2z * -1) = 4 + -3z 7 + (5 + -2z) = 4 + -3z Combine like terms: 7 + 5 = 12 12 + -2z = 4 + -3z Solving 12 + -2z = 4 + -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. 12 + -2z + 3z = 4 + -3z + 3z Combine like terms: -2z + 3z = 1z 12 + 1z = 4 + -3z + 3z Combine like terms: -3z + 3z = 0 12 + 1z = 4 + 0 12 + 1z = 4 Add '-12' to each side of the equation. 12 + -12 + 1z = 4 + -12 Combine like terms: 12 + -12 = 0 0 + 1z = 4 + -12 1z = 4 + -12 Combine like terms: 4 + -12 = -8 1z = -8 Divide each side by '1'. z = -8 Simplifying z = -8
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