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Simplifying 7(4 + -3z) = -6(z + -4) + -8 (4 * 7 + -3z * 7) = -6(z + -4) + -8 (28 + -21z) = -6(z + -4) + -8 Reorder the terms: 28 + -21z = -6(-4 + z) + -8 28 + -21z = (-4 * -6 + z * -6) + -8 28 + -21z = (24 + -6z) + -8 Reorder the terms: 28 + -21z = 24 + -8 + -6z Combine like terms: 24 + -8 = 16 28 + -21z = 16 + -6z Solving 28 + -21z = 16 + -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. 28 + -21z + 6z = 16 + -6z + 6z Combine like terms: -21z + 6z = -15z 28 + -15z = 16 + -6z + 6z Combine like terms: -6z + 6z = 0 28 + -15z = 16 + 0 28 + -15z = 16 Add '-28' to each side of the equation. 28 + -28 + -15z = 16 + -28 Combine like terms: 28 + -28 = 0 0 + -15z = 16 + -28 -15z = 16 + -28 Combine like terms: 16 + -28 = -12 -15z = -12 Divide each side by '-15'. z = 0.8 Simplifying z = 0.8
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