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Simplifying 14 + -4(z) = 2(17 + -1z) 14 + -4z = (17 * 2 + -1z * 2) 14 + -4z = (34 + -2z) Solving 14 + -4z = 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 + -4z + 2z = 34 + -2z + 2z Combine like terms: -4z + 2z = -2z 14 + -2z = 34 + -2z + 2z Combine like terms: -2z + 2z = 0 14 + -2z = 34 + 0 14 + -2z = 34 Add '-14' to each side of the equation. 14 + -14 + -2z = 34 + -14 Combine like terms: 14 + -14 = 0 0 + -2z = 34 + -14 -2z = 34 + -14 Combine like terms: 34 + -14 = 20 -2z = 20 Divide each side by '-2'. z = -10 Simplifying z = -10
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