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Simplifying 5 + -5z = 5(-1z + 1) + -7(4z + -1) Reorder the terms: 5 + -5z = 5(1 + -1z) + -7(4z + -1) 5 + -5z = (1 * 5 + -1z * 5) + -7(4z + -1) 5 + -5z = (5 + -5z) + -7(4z + -1) Reorder the terms: 5 + -5z = 5 + -5z + -7(-1 + 4z) 5 + -5z = 5 + -5z + (-1 * -7 + 4z * -7) 5 + -5z = 5 + -5z + (7 + -28z) Reorder the terms: 5 + -5z = 5 + 7 + -5z + -28z Combine like terms: 5 + 7 = 12 5 + -5z = 12 + -5z + -28z Combine like terms: -5z + -28z = -33z 5 + -5z = 12 + -33z Solving 5 + -5z = 12 + -33z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '33z' to each side of the equation. 5 + -5z + 33z = 12 + -33z + 33z Combine like terms: -5z + 33z = 28z 5 + 28z = 12 + -33z + 33z Combine like terms: -33z + 33z = 0 5 + 28z = 12 + 0 5 + 28z = 12 Add '-5' to each side of the equation. 5 + -5 + 28z = 12 + -5 Combine like terms: 5 + -5 = 0 0 + 28z = 12 + -5 28z = 12 + -5 Combine like terms: 12 + -5 = 7 28z = 7 Divide each side by '28'. z = 0.25 Simplifying z = 0.25
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