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Simplifying 19 + -43 = 5(z + -1) + -4 Combine like terms: 19 + -43 = -24 -24 = 5(z + -1) + -4 Reorder the terms: -24 = 5(-1 + z) + -4 -24 = (-1 * 5 + z * 5) + -4 -24 = (-5 + 5z) + -4 Reorder the terms: -24 = -5 + -4 + 5z Combine like terms: -5 + -4 = -9 -24 = -9 + 5z Solving -24 = -9 + 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. -24 + -5z = -9 + 5z + -5z Combine like terms: 5z + -5z = 0 -24 + -5z = -9 + 0 -24 + -5z = -9 Add '24' to each side of the equation. -24 + 24 + -5z = -9 + 24 Combine like terms: -24 + 24 = 0 0 + -5z = -9 + 24 -5z = -9 + 24 Combine like terms: -9 + 24 = 15 -5z = 15 Divide each side by '-5'. z = -3 Simplifying z = -3
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