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Simplifying 42 = 6(z + -36) Reorder the terms: 42 = 6(-36 + z) 42 = (-36 * 6 + z * 6) 42 = (-216 + 6z) Solving 42 = -216 + 6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-6z' to each side of the equation. 42 + -6z = -216 + 6z + -6z Combine like terms: 6z + -6z = 0 42 + -6z = -216 + 0 42 + -6z = -216 Add '-42' to each side of the equation. 42 + -42 + -6z = -216 + -42 Combine like terms: 42 + -42 = 0 0 + -6z = -216 + -42 -6z = -216 + -42 Combine like terms: -216 + -42 = -258 -6z = -258 Divide each side by '-6'. z = 43 Simplifying z = 43
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