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Simplifying 29 = 2(2z + 3) + -4(2z + -6) + -13 Reorder the terms: 29 = 2(3 + 2z) + -4(2z + -6) + -13 29 = (3 * 2 + 2z * 2) + -4(2z + -6) + -13 29 = (6 + 4z) + -4(2z + -6) + -13 Reorder the terms: 29 = 6 + 4z + -4(-6 + 2z) + -13 29 = 6 + 4z + (-6 * -4 + 2z * -4) + -13 29 = 6 + 4z + (24 + -8z) + -13 Reorder the terms: 29 = 6 + 24 + -13 + 4z + -8z Combine like terms: 6 + 24 = 30 29 = 30 + -13 + 4z + -8z Combine like terms: 30 + -13 = 17 29 = 17 + 4z + -8z Combine like terms: 4z + -8z = -4z 29 = 17 + -4z Solving 29 = 17 + -4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '4z' to each side of the equation. 29 + 4z = 17 + -4z + 4z Combine like terms: -4z + 4z = 0 29 + 4z = 17 + 0 29 + 4z = 17 Add '-29' to each side of the equation. 29 + -29 + 4z = 17 + -29 Combine like terms: 29 + -29 = 0 0 + 4z = 17 + -29 4z = 17 + -29 Combine like terms: 17 + -29 = -12 4z = -12 Divide each side by '4'. z = -3 Simplifying z = -3
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