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Simplifying 42 = 1(z + -3) Reorder the terms: 42 = 1(-3 + z) 42 = (-3 * 1 + z * 1) 42 = (-3 + 1z) Solving 42 = -3 + 1z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1z' to each side of the equation. 42 + -1z = -3 + 1z + -1z Combine like terms: 1z + -1z = 0 42 + -1z = -3 + 0 42 + -1z = -3 Add '-42' to each side of the equation. 42 + -42 + -1z = -3 + -42 Combine like terms: 42 + -42 = 0 0 + -1z = -3 + -42 -1z = -3 + -42 Combine like terms: -3 + -42 = -45 -1z = -45 Divide each side by '-1'. z = 45 Simplifying z = 45
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