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Simplifying 4(z + 5 + -24) = 5z + -13 Reorder the terms: 4(5 + -24 + z) = 5z + -13 Combine like terms: 5 + -24 = -19 4(-19 + z) = 5z + -13 (-19 * 4 + z * 4) = 5z + -13 (-76 + 4z) = 5z + -13 Reorder the terms: -76 + 4z = -13 + 5z Solving -76 + 4z = -13 + 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. -76 + 4z + -5z = -13 + 5z + -5z Combine like terms: 4z + -5z = -1z -76 + -1z = -13 + 5z + -5z Combine like terms: 5z + -5z = 0 -76 + -1z = -13 + 0 -76 + -1z = -13 Add '76' to each side of the equation. -76 + 76 + -1z = -13 + 76 Combine like terms: -76 + 76 = 0 0 + -1z = -13 + 76 -1z = -13 + 76 Combine like terms: -13 + 76 = 63 -1z = 63 Divide each side by '-1'. z = -63 Simplifying z = -63
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