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Simplifying -14 + -1z = 2(17 + -1z) -14 + -1z = (17 * 2 + -1z * 2) -14 + -1z = (34 + -2z) Solving -14 + -1z = 34 + -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. -14 + -1z + 2z = 34 + -2z + 2z Combine like terms: -1z + 2z = 1z -14 + 1z = 34 + -2z + 2z Combine like terms: -2z + 2z = 0 -14 + 1z = 34 + 0 -14 + 1z = 34 Add '14' to each side of the equation. -14 + 14 + 1z = 34 + 14 Combine like terms: -14 + 14 = 0 0 + 1z = 34 + 14 1z = 34 + 14 Combine like terms: 34 + 14 = 48 1z = 48 Divide each side by '1'. z = 48 Simplifying z = 48
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