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Simplifying 47 = 7(z + -3) Reorder the terms: 47 = 7(-3 + z) 47 = (-3 * 7 + z * 7) 47 = (-21 + 7z) Solving 47 = -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. 47 + -7z = -21 + 7z + -7z Combine like terms: 7z + -7z = 0 47 + -7z = -21 + 0 47 + -7z = -21 Add '-47' to each side of the equation. 47 + -47 + -7z = -21 + -47 Combine like terms: 47 + -47 = 0 0 + -7z = -21 + -47 -7z = -21 + -47 Combine like terms: -21 + -47 = -68 -7z = -68 Divide each side by '-7'. z = 9.714285714 Simplifying z = 9.714285714
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