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Simplifying 29 = 5 + 4(z + -6) Reorder the terms: 29 = 5 + 4(-6 + z) 29 = 5 + (-6 * 4 + z * 4) 29 = 5 + (-24 + 4z) Combine like terms: 5 + -24 = -19 29 = -19 + 4z Solving 29 = -19 + 4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4z' to each side of the equation. 29 + -4z = -19 + 4z + -4z Combine like terms: 4z + -4z = 0 29 + -4z = -19 + 0 29 + -4z = -19 Add '-29' to each side of the equation. 29 + -29 + -4z = -19 + -29 Combine like terms: 29 + -29 = 0 0 + -4z = -19 + -29 -4z = -19 + -29 Combine like terms: -19 + -29 = -48 -4z = -48 Divide each side by '-4'. z = 12 Simplifying z = 12
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