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Simplifying 42 = 7[z + -3] Reorder the terms: 42 = 7[-3 + z] 42 = [-3 * 7 + z * 7] 42 = [-21 + 7z] Solving 42 = -21 + 7z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-7z' to each side of the equation. 42 + -7z = -21 + 7z + -7z Combine like terms: 7z + -7z = 0 42 + -7z = -21 + 0 42 + -7z = -21 Add '-42' to each side of the equation. 42 + -42 + -7z = -21 + -42 Combine like terms: 42 + -42 = 0 0 + -7z = -21 + -42 -7z = -21 + -42 Combine like terms: -21 + -42 = -63 -7z = -63 Divide each side by '-7'. z = 9 Simplifying z = 9
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