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Simplifying 4(3 + 2z) + -4z = 5(2 + -3z) + -7 (3 * 4 + 2z * 4) + -4z = 5(2 + -3z) + -7 (12 + 8z) + -4z = 5(2 + -3z) + -7 Combine like terms: 8z + -4z = 4z 12 + 4z = 5(2 + -3z) + -7 12 + 4z = (2 * 5 + -3z * 5) + -7 12 + 4z = (10 + -15z) + -7 Reorder the terms: 12 + 4z = 10 + -7 + -15z Combine like terms: 10 + -7 = 3 12 + 4z = 3 + -15z Solving 12 + 4z = 3 + -15z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '15z' to each side of the equation. 12 + 4z + 15z = 3 + -15z + 15z Combine like terms: 4z + 15z = 19z 12 + 19z = 3 + -15z + 15z Combine like terms: -15z + 15z = 0 12 + 19z = 3 + 0 12 + 19z = 3 Add '-12' to each side of the equation. 12 + -12 + 19z = 3 + -12 Combine like terms: 12 + -12 = 0 0 + 19z = 3 + -12 19z = 3 + -12 Combine like terms: 3 + -12 = -9 19z = -9 Divide each side by '19'. z = -0.4736842105 Simplifying z = -0.4736842105
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