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Simplifying 2(z + 7) + -1(3z + -3) = -2z Reorder the terms: 2(7 + z) + -1(3z + -3) = -2z (7 * 2 + z * 2) + -1(3z + -3) = -2z (14 + 2z) + -1(3z + -3) = -2z Reorder the terms: 14 + 2z + -1(-3 + 3z) = -2z 14 + 2z + (-3 * -1 + 3z * -1) = -2z 14 + 2z + (3 + -3z) = -2z Reorder the terms: 14 + 3 + 2z + -3z = -2z Combine like terms: 14 + 3 = 17 17 + 2z + -3z = -2z Combine like terms: 2z + -3z = -1z 17 + -1z = -2z Solving 17 + -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. 17 + -1z + 2z = -2z + 2z Combine like terms: -1z + 2z = 1z 17 + 1z = -2z + 2z Combine like terms: -2z + 2z = 0 17 + 1z = 0 Add '-17' to each side of the equation. 17 + -17 + 1z = 0 + -17 Combine like terms: 17 + -17 = 0 0 + 1z = 0 + -17 1z = 0 + -17 Combine like terms: 0 + -17 = -17 1z = -17 Divide each side by '1'. z = -17 Simplifying z = -17
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