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Simplifying 5(z + -1) = 4(z + 3) Reorder the terms: 5(-1 + z) = 4(z + 3) (-1 * 5 + z * 5) = 4(z + 3) (-5 + 5z) = 4(z + 3) Reorder the terms: -5 + 5z = 4(3 + z) -5 + 5z = (3 * 4 + z * 4) -5 + 5z = (12 + 4z) Solving -5 + 5z = 12 + 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. -5 + 5z + -4z = 12 + 4z + -4z Combine like terms: 5z + -4z = 1z -5 + 1z = 12 + 4z + -4z Combine like terms: 4z + -4z = 0 -5 + 1z = 12 + 0 -5 + 1z = 12 Add '5' to each side of the equation. -5 + 5 + 1z = 12 + 5 Combine like terms: -5 + 5 = 0 0 + 1z = 12 + 5 1z = 12 + 5 Combine like terms: 12 + 5 = 17 1z = 17 Divide each side by '1'. z = 17 Simplifying z = 17
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