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Simplifying 4(z + 5) + -24 = 5(z + -13) Reorder the terms: 4(5 + z) + -24 = 5(z + -13) (5 * 4 + z * 4) + -24 = 5(z + -13) (20 + 4z) + -24 = 5(z + -13) Reorder the terms: 20 + -24 + 4z = 5(z + -13) Combine like terms: 20 + -24 = -4 -4 + 4z = 5(z + -13) Reorder the terms: -4 + 4z = 5(-13 + z) -4 + 4z = (-13 * 5 + z * 5) -4 + 4z = (-65 + 5z) Solving -4 + 4z = -65 + 5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5z' to each side of the equation. -4 + 4z + -5z = -65 + 5z + -5z Combine like terms: 4z + -5z = -1z -4 + -1z = -65 + 5z + -5z Combine like terms: 5z + -5z = 0 -4 + -1z = -65 + 0 -4 + -1z = -65 Add '4' to each side of the equation. -4 + 4 + -1z = -65 + 4 Combine like terms: -4 + 4 = 0 0 + -1z = -65 + 4 -1z = -65 + 4 Combine like terms: -65 + 4 = -61 -1z = -61 Divide each side by '-1'. z = 61 Simplifying z = 61
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