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Simplifying 3(z + 4) + (z + -2) * 6 = 15 Reorder the terms: 3(4 + z) + (z + -2) * 6 = 15 (4 * 3 + z * 3) + (z + -2) * 6 = 15 (12 + 3z) + (z + -2) * 6 = 15 Reorder the terms: 12 + 3z + (-2 + z) * 6 = 15 Reorder the terms for easier multiplication: 12 + 3z + 6(-2 + z) = 15 12 + 3z + (-2 * 6 + z * 6) = 15 12 + 3z + (-12 + 6z) = 15 Reorder the terms: 12 + -12 + 3z + 6z = 15 Combine like terms: 12 + -12 = 0 0 + 3z + 6z = 15 3z + 6z = 15 Combine like terms: 3z + 6z = 9z 9z = 15 Solving 9z = 15 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Divide each side by '9'. z = 1.666666667 Simplifying z = 1.666666667
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