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Simplifying 6 + -1(2z + -3) = 3 + -3z Reorder the terms: 6 + -1(-3 + 2z) = 3 + -3z 6 + (-3 * -1 + 2z * -1) = 3 + -3z 6 + (3 + -2z) = 3 + -3z Combine like terms: 6 + 3 = 9 9 + -2z = 3 + -3z Solving 9 + -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. 9 + -2z + 3z = 3 + -3z + 3z Combine like terms: -2z + 3z = 1z 9 + 1z = 3 + -3z + 3z Combine like terms: -3z + 3z = 0 9 + 1z = 3 + 0 9 + 1z = 3 Add '-9' to each side of the equation. 9 + -9 + 1z = 3 + -9 Combine like terms: 9 + -9 = 0 0 + 1z = 3 + -9 1z = 3 + -9 Combine like terms: 3 + -9 = -6 1z = -6 Divide each side by '1'. z = -6 Simplifying z = -6
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