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Simplifying 43 = 7(z + -3) Reorder the terms: 43 = 7(-3 + z) 43 = (-3 * 7 + z * 7) 43 = (-21 + 7z) Solving 43 = -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. 43 + -7z = -21 + 7z + -7z Combine like terms: 7z + -7z = 0 43 + -7z = -21 + 0 43 + -7z = -21 Add '-43' to each side of the equation. 43 + -43 + -7z = -21 + -43 Combine like terms: 43 + -43 = 0 0 + -7z = -21 + -43 -7z = -21 + -43 Combine like terms: -21 + -43 = -64 -7z = -64 Divide each side by '-7'. z = 9.142857143 Simplifying z = 9.142857143
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