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Simplifying 5(4z + -1) + -5(z + 5) = (z + 1) Reorder the terms: 5(-1 + 4z) + -5(z + 5) = (z + 1) (-1 * 5 + 4z * 5) + -5(z + 5) = (z + 1) (-5 + 20z) + -5(z + 5) = (z + 1) Reorder the terms: -5 + 20z + -5(5 + z) = (z + 1) -5 + 20z + (5 * -5 + z * -5) = (z + 1) -5 + 20z + (-25 + -5z) = (z + 1) Reorder the terms: -5 + -25 + 20z + -5z = (z + 1) Combine like terms: -5 + -25 = -30 -30 + 20z + -5z = (z + 1) Combine like terms: 20z + -5z = 15z -30 + 15z = (z + 1) Reorder the terms: -30 + 15z = (1 + z) Remove parenthesis around (1 + z) -30 + 15z = 1 + z Solving -30 + 15z = 1 + z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1z' to each side of the equation. -30 + 15z + -1z = 1 + z + -1z Combine like terms: 15z + -1z = 14z -30 + 14z = 1 + z + -1z Combine like terms: z + -1z = 0 -30 + 14z = 1 + 0 -30 + 14z = 1 Add '30' to each side of the equation. -30 + 30 + 14z = 1 + 30 Combine like terms: -30 + 30 = 0 0 + 14z = 1 + 30 14z = 1 + 30 Combine like terms: 1 + 30 = 31 14z = 31 Divide each side by '14'. z = 2.214285714 Simplifying z = 2.214285714
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