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Simplifying 6(6 + z) = 5(c + -4) (6 * 6 + z * 6) = 5(c + -4) (36 + 6z) = 5(c + -4) Reorder the terms: 36 + 6z = 5(-4 + c) 36 + 6z = (-4 * 5 + c * 5) 36 + 6z = (-20 + 5c) Solving 36 + 6z = -20 + 5c Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + 6z = -20 + -36 + 5c Combine like terms: 36 + -36 = 0 0 + 6z = -20 + -36 + 5c 6z = -20 + -36 + 5c Combine like terms: -20 + -36 = -56 6z = -56 + 5c Divide each side by '6'. z = -9.333333333 + 0.8333333333c Simplifying z = -9.333333333 + 0.8333333333c
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