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Simplifying 9z + 2 = 119 + 9(2z + -6) Reorder the terms: 2 + 9z = 119 + 9(2z + -6) Reorder the terms: 2 + 9z = 119 + 9(-6 + 2z) 2 + 9z = 119 + (-6 * 9 + 2z * 9) 2 + 9z = 119 + (-54 + 18z) Combine like terms: 119 + -54 = 65 2 + 9z = 65 + 18z Solving 2 + 9z = 65 + 18z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-18z' to each side of the equation. 2 + 9z + -18z = 65 + 18z + -18z Combine like terms: 9z + -18z = -9z 2 + -9z = 65 + 18z + -18z Combine like terms: 18z + -18z = 0 2 + -9z = 65 + 0 2 + -9z = 65 Add '-2' to each side of the equation. 2 + -2 + -9z = 65 + -2 Combine like terms: 2 + -2 = 0 0 + -9z = 65 + -2 -9z = 65 + -2 Combine like terms: 65 + -2 = 63 -9z = 63 Divide each side by '-9'. z = -7 Simplifying z = -7
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