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Simplifying 2(z + 6) + -1(-5z + -3) = 6z Reorder the terms: 2(6 + z) + -1(-5z + -3) = 6z (6 * 2 + z * 2) + -1(-5z + -3) = 6z (12 + 2z) + -1(-5z + -3) = 6z Reorder the terms: 12 + 2z + -1(-3 + -5z) = 6z 12 + 2z + (-3 * -1 + -5z * -1) = 6z 12 + 2z + (3 + 5z) = 6z Reorder the terms: 12 + 3 + 2z + 5z = 6z Combine like terms: 12 + 3 = 15 15 + 2z + 5z = 6z Combine like terms: 2z + 5z = 7z 15 + 7z = 6z Solving 15 + 7z = 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 + 7z + -6z = 6z + -6z Combine like terms: 7z + -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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