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Simplifying 5z + -13 = 4(z + 5) + -24 Reorder the terms: -13 + 5z = 4(z + 5) + -24 Reorder the terms: -13 + 5z = 4(5 + z) + -24 -13 + 5z = (5 * 4 + z * 4) + -24 -13 + 5z = (20 + 4z) + -24 Reorder the terms: -13 + 5z = 20 + -24 + 4z Combine like terms: 20 + -24 = -4 -13 + 5z = -4 + 4z Solving -13 + 5z = -4 + 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. -13 + 5z + -4z = -4 + 4z + -4z Combine like terms: 5z + -4z = 1z -13 + 1z = -4 + 4z + -4z Combine like terms: 4z + -4z = 0 -13 + 1z = -4 + 0 -13 + 1z = -4 Add '13' to each side of the equation. -13 + 13 + 1z = -4 + 13 Combine like terms: -13 + 13 = 0 0 + 1z = -4 + 13 1z = -4 + 13 Combine like terms: -4 + 13 = 9 1z = 9 Divide each side by '1'. z = 9 Simplifying z = 9
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