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Simplifying 7 + -1(2z + -3) = 7 + -3z Reorder the terms: 7 + -1(-3 + 2z) = 7 + -3z 7 + (-3 * -1 + 2z * -1) = 7 + -3z 7 + (3 + -2z) = 7 + -3z Combine like terms: 7 + 3 = 10 10 + -2z = 7 + -3z Solving 10 + -2z = 7 + -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. 10 + -2z + 3z = 7 + -3z + 3z Combine like terms: -2z + 3z = 1z 10 + 1z = 7 + -3z + 3z Combine like terms: -3z + 3z = 0 10 + 1z = 7 + 0 10 + 1z = 7 Add '-10' to each side of the equation. 10 + -10 + 1z = 7 + -10 Combine like terms: 10 + -10 = 0 0 + 1z = 7 + -10 1z = 7 + -10 Combine like terms: 7 + -10 = -3 1z = -3 Divide each side by '1'. z = -3 Simplifying z = -3
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