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Simplifying 7(4 + -3z) + 3 = -6(z + -4) + -7 (4 * 7 + -3z * 7) + 3 = -6(z + -4) + -7 (28 + -21z) + 3 = -6(z + -4) + -7 Reorder the terms: 28 + 3 + -21z = -6(z + -4) + -7 Combine like terms: 28 + 3 = 31 31 + -21z = -6(z + -4) + -7 Reorder the terms: 31 + -21z = -6(-4 + z) + -7 31 + -21z = (-4 * -6 + z * -6) + -7 31 + -21z = (24 + -6z) + -7 Reorder the terms: 31 + -21z = 24 + -7 + -6z Combine like terms: 24 + -7 = 17 31 + -21z = 17 + -6z Solving 31 + -21z = 17 + -6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '6z' to each side of the equation. 31 + -21z + 6z = 17 + -6z + 6z Combine like terms: -21z + 6z = -15z 31 + -15z = 17 + -6z + 6z Combine like terms: -6z + 6z = 0 31 + -15z = 17 + 0 31 + -15z = 17 Add '-31' to each side of the equation. 31 + -31 + -15z = 17 + -31 Combine like terms: 31 + -31 = 0 0 + -15z = 17 + -31 -15z = 17 + -31 Combine like terms: 17 + -31 = -14 -15z = -14 Divide each side by '-15'. z = 0.9333333333 Simplifying z = 0.9333333333
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