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Simplifying 5(z + -2) = 4(2z + 5) Reorder the terms: 5(-2 + z) = 4(2z + 5) (-2 * 5 + z * 5) = 4(2z + 5) (-10 + 5z) = 4(2z + 5) Reorder the terms: -10 + 5z = 4(5 + 2z) -10 + 5z = (5 * 4 + 2z * 4) -10 + 5z = (20 + 8z) Solving -10 + 5z = 20 + 8z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-8z' to each side of the equation. -10 + 5z + -8z = 20 + 8z + -8z Combine like terms: 5z + -8z = -3z -10 + -3z = 20 + 8z + -8z Combine like terms: 8z + -8z = 0 -10 + -3z = 20 + 0 -10 + -3z = 20 Add '10' to each side of the equation. -10 + 10 + -3z = 20 + 10 Combine like terms: -10 + 10 = 0 0 + -3z = 20 + 10 -3z = 20 + 10 Combine like terms: 20 + 10 = 30 -3z = 30 Divide each side by '-3'. z = -10 Simplifying z = -10
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