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Simplifying 3(z + 4) + -1(8z + -3) = -6z Reorder the terms: 3(4 + z) + -1(8z + -3) = -6z (4 * 3 + z * 3) + -1(8z + -3) = -6z (12 + 3z) + -1(8z + -3) = -6z Reorder the terms: 12 + 3z + -1(-3 + 8z) = -6z 12 + 3z + (-3 * -1 + 8z * -1) = -6z 12 + 3z + (3 + -8z) = -6z Reorder the terms: 12 + 3 + 3z + -8z = -6z Combine like terms: 12 + 3 = 15 15 + 3z + -8z = -6z Combine like terms: 3z + -8z = -5z 15 + -5z = -6z Solving 15 + -5z = -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. 15 + -5z + 6z = -6z + 6z Combine like terms: -5z + 6z = 1z 15 + 1z = -6z + 6z Combine like terms: -6z + 6z = 0 15 + 1z = 0 Add '-15' to each side of the equation. 15 + -15 + 1z = 0 + -15 Combine like terms: 15 + -15 = 0 0 + 1z = 0 + -15 1z = 0 + -15 Combine like terms: 0 + -15 = -15 1z = -15 Divide each side by '1'. z = -15 Simplifying z = -15
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