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Simplifying 4(5z + -1) + -2(2 + 5) = 5(z + 1) Reorder the terms: 4(-1 + 5z) + -2(2 + 5) = 5(z + 1) (-1 * 4 + 5z * 4) + -2(2 + 5) = 5(z + 1) (-4 + 20z) + -2(2 + 5) = 5(z + 1) Combine like terms: 2 + 5 = 7 -4 + 20z + -2(7) = 5(z + 1) Multiply -2 * 7 -4 + 20z + -14 = 5(z + 1) Reorder the terms: -4 + -14 + 20z = 5(z + 1) Combine like terms: -4 + -14 = -18 -18 + 20z = 5(z + 1) Reorder the terms: -18 + 20z = 5(1 + z) -18 + 20z = (1 * 5 + z * 5) -18 + 20z = (5 + 5z) Solving -18 + 20z = 5 + 5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5z' to each side of the equation. -18 + 20z + -5z = 5 + 5z + -5z Combine like terms: 20z + -5z = 15z -18 + 15z = 5 + 5z + -5z Combine like terms: 5z + -5z = 0 -18 + 15z = 5 + 0 -18 + 15z = 5 Add '18' to each side of the equation. -18 + 18 + 15z = 5 + 18 Combine like terms: -18 + 18 = 0 0 + 15z = 5 + 18 15z = 5 + 18 Combine like terms: 5 + 18 = 23 15z = 23 Divide each side by '15'. z = 1.533333333 Simplifying z = 1.533333333
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