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Simplifying 7 + -1(4z + -2) = 8 + -52 Reorder the terms: 7 + -1(-2 + 4z) = 8 + -52 7 + (-2 * -1 + 4z * -1) = 8 + -52 7 + (2 + -4z) = 8 + -52 Combine like terms: 7 + 2 = 9 9 + -4z = 8 + -52 Combine like terms: 8 + -52 = -44 9 + -4z = -44 Solving 9 + -4z = -44 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -4z = -44 + -9 Combine like terms: 9 + -9 = 0 0 + -4z = -44 + -9 -4z = -44 + -9 Combine like terms: -44 + -9 = -53 -4z = -53 Divide each side by '-4'. z = 13.25 Simplifying z = 13.25
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