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Simplifying 4(2z + 7) = -2(3z + 5) Reorder the terms: 4(7 + 2z) = -2(3z + 5) (7 * 4 + 2z * 4) = -2(3z + 5) (28 + 8z) = -2(3z + 5) Reorder the terms: 28 + 8z = -2(5 + 3z) 28 + 8z = (5 * -2 + 3z * -2) 28 + 8z = (-10 + -6z) Solving 28 + 8z = -10 + -6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '6z' to each side of the equation. 28 + 8z + 6z = -10 + -6z + 6z Combine like terms: 8z + 6z = 14z 28 + 14z = -10 + -6z + 6z Combine like terms: -6z + 6z = 0 28 + 14z = -10 + 0 28 + 14z = -10 Add '-28' to each side of the equation. 28 + -28 + 14z = -10 + -28 Combine like terms: 28 + -28 = 0 0 + 14z = -10 + -28 14z = -10 + -28 Combine like terms: -10 + -28 = -38 14z = -38 Divide each side by '14'. z = -2.714285714 Simplifying z = -2.714285714
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