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Simplifying 3(5z + -1) + -5(z + 4) = 5(z + 1) Reorder the terms: 3(-1 + 5z) + -5(z + 4) = 5(z + 1) (-1 * 3 + 5z * 3) + -5(z + 4) = 5(z + 1) (-3 + 15z) + -5(z + 4) = 5(z + 1) Reorder the terms: -3 + 15z + -5(4 + z) = 5(z + 1) -3 + 15z + (4 * -5 + z * -5) = 5(z + 1) -3 + 15z + (-20 + -5z) = 5(z + 1) Reorder the terms: -3 + -20 + 15z + -5z = 5(z + 1) Combine like terms: -3 + -20 = -23 -23 + 15z + -5z = 5(z + 1) Combine like terms: 15z + -5z = 10z -23 + 10z = 5(z + 1) Reorder the terms: -23 + 10z = 5(1 + z) -23 + 10z = (1 * 5 + z * 5) -23 + 10z = (5 + 5z) Solving -23 + 10z = 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. -23 + 10z + -5z = 5 + 5z + -5z Combine like terms: 10z + -5z = 5z -23 + 5z = 5 + 5z + -5z Combine like terms: 5z + -5z = 0 -23 + 5z = 5 + 0 -23 + 5z = 5 Add '23' to each side of the equation. -23 + 23 + 5z = 5 + 23 Combine like terms: -23 + 23 = 0 0 + 5z = 5 + 23 5z = 5 + 23 Combine like terms: 5 + 23 = 28 5z = 28 Divide each side by '5'. z = 5.6 Simplifying z = 5.6
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