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Simplifying 6(z + 3) + -1(-2z + -2) = 7z Reorder the terms: 6(3 + z) + -1(-2z + -2) = 7z (3 * 6 + z * 6) + -1(-2z + -2) = 7z (18 + 6z) + -1(-2z + -2) = 7z Reorder the terms: 18 + 6z + -1(-2 + -2z) = 7z 18 + 6z + (-2 * -1 + -2z * -1) = 7z 18 + 6z + (2 + 2z) = 7z Reorder the terms: 18 + 2 + 6z + 2z = 7z Combine like terms: 18 + 2 = 20 20 + 6z + 2z = 7z Combine like terms: 6z + 2z = 8z 20 + 8z = 7z Solving 20 + 8z = 7z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-7z' to each side of the equation. 20 + 8z + -7z = 7z + -7z Combine like terms: 8z + -7z = 1z 20 + 1z = 7z + -7z Combine like terms: 7z + -7z = 0 20 + 1z = 0 Add '-20' to each side of the equation. 20 + -20 + 1z = 0 + -20 Combine like terms: 20 + -20 = 0 0 + 1z = 0 + -20 1z = 0 + -20 Combine like terms: 0 + -20 = -20 1z = -20 Divide each side by '1'. z = -20 Simplifying z = -20
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