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Simplifying 5(6z + -1) + -4(z + 8) = 6(z + 1) Reorder the terms: 5(-1 + 6z) + -4(z + 8) = 6(z + 1) (-1 * 5 + 6z * 5) + -4(z + 8) = 6(z + 1) (-5 + 30z) + -4(z + 8) = 6(z + 1) Reorder the terms: -5 + 30z + -4(8 + z) = 6(z + 1) -5 + 30z + (8 * -4 + z * -4) = 6(z + 1) -5 + 30z + (-32 + -4z) = 6(z + 1) Reorder the terms: -5 + -32 + 30z + -4z = 6(z + 1) Combine like terms: -5 + -32 = -37 -37 + 30z + -4z = 6(z + 1) Combine like terms: 30z + -4z = 26z -37 + 26z = 6(z + 1) Reorder the terms: -37 + 26z = 6(1 + z) -37 + 26z = (1 * 6 + z * 6) -37 + 26z = (6 + 6z) Solving -37 + 26z = 6 + 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. -37 + 26z + -6z = 6 + 6z + -6z Combine like terms: 26z + -6z = 20z -37 + 20z = 6 + 6z + -6z Combine like terms: 6z + -6z = 0 -37 + 20z = 6 + 0 -37 + 20z = 6 Add '37' to each side of the equation. -37 + 37 + 20z = 6 + 37 Combine like terms: -37 + 37 = 0 0 + 20z = 6 + 37 20z = 6 + 37 Combine like terms: 6 + 37 = 43 20z = 43 Divide each side by '20'. z = 2.15 Simplifying z = 2.15
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