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Simplifying -7(z + 2) + -1(3 + 2z) = -10z Reorder the terms: -7(2 + z) + -1(3 + 2z) = -10z (2 * -7 + z * -7) + -1(3 + 2z) = -10z (-14 + -7z) + -1(3 + 2z) = -10z -14 + -7z + (3 * -1 + 2z * -1) = -10z -14 + -7z + (-3 + -2z) = -10z Reorder the terms: -14 + -3 + -7z + -2z = -10z Combine like terms: -14 + -3 = -17 -17 + -7z + -2z = -10z Combine like terms: -7z + -2z = -9z -17 + -9z = -10z Solving -17 + -9z = -10z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '10z' to each side of the equation. -17 + -9z + 10z = -10z + 10z Combine like terms: -9z + 10z = 1z -17 + 1z = -10z + 10z Combine like terms: -10z + 10z = 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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