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Simplifying 3 + -1(-3z + 3) = 6(2z + 4) + 7 Reorder the terms: 3 + -1(3 + -3z) = 6(2z + 4) + 7 3 + (3 * -1 + -3z * -1) = 6(2z + 4) + 7 3 + (-3 + 3z) = 6(2z + 4) + 7 Combine like terms: 3 + -3 = 0 0 + 3z = 6(2z + 4) + 7 3z = 6(2z + 4) + 7 Reorder the terms: 3z = 6(4 + 2z) + 7 3z = (4 * 6 + 2z * 6) + 7 3z = (24 + 12z) + 7 Reorder the terms: 3z = 24 + 7 + 12z Combine like terms: 24 + 7 = 31 3z = 31 + 12z Solving 3z = 31 + 12z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-12z' to each side of the equation. 3z + -12z = 31 + 12z + -12z Combine like terms: 3z + -12z = -9z -9z = 31 + 12z + -12z Combine like terms: 12z + -12z = 0 -9z = 31 + 0 -9z = 31 Divide each side by '-9'. z = -3.444444444 Simplifying z = -3.444444444
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