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Simplifying 6(z + 9) + -1(7z + -3) = -2z Reorder the terms: 6(9 + z) + -1(7z + -3) = -2z (9 * 6 + z * 6) + -1(7z + -3) = -2z (54 + 6z) + -1(7z + -3) = -2z Reorder the terms: 54 + 6z + -1(-3 + 7z) = -2z 54 + 6z + (-3 * -1 + 7z * -1) = -2z 54 + 6z + (3 + -7z) = -2z Reorder the terms: 54 + 3 + 6z + -7z = -2z Combine like terms: 54 + 3 = 57 57 + 6z + -7z = -2z Combine like terms: 6z + -7z = -1z 57 + -1z = -2z Solving 57 + -1z = -2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '2z' to each side of the equation. 57 + -1z + 2z = -2z + 2z Combine like terms: -1z + 2z = 1z 57 + 1z = -2z + 2z Combine like terms: -2z + 2z = 0 57 + 1z = 0 Add '-57' to each side of the equation. 57 + -57 + 1z = 0 + -57 Combine like terms: 57 + -57 = 0 0 + 1z = 0 + -57 1z = 0 + -57 Combine like terms: 0 + -57 = -57 1z = -57 Divide each side by '1'. z = -57 Simplifying z = -57
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