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Simplifying 5(6z + -1) + -4(2 + 4) = 10(z + 1) Reorder the terms: 5(-1 + 6z) + -4(2 + 4) = 10(z + 1) (-1 * 5 + 6z * 5) + -4(2 + 4) = 10(z + 1) (-5 + 30z) + -4(2 + 4) = 10(z + 1) Combine like terms: 2 + 4 = 6 -5 + 30z + -4(6) = 10(z + 1) Multiply -4 * 6 -5 + 30z + -24 = 10(z + 1) Reorder the terms: -5 + -24 + 30z = 10(z + 1) Combine like terms: -5 + -24 = -29 -29 + 30z = 10(z + 1) Reorder the terms: -29 + 30z = 10(1 + z) -29 + 30z = (1 * 10 + z * 10) -29 + 30z = (10 + 10z) Solving -29 + 30z = 10 + 10z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-10z' to each side of the equation. -29 + 30z + -10z = 10 + 10z + -10z Combine like terms: 30z + -10z = 20z -29 + 20z = 10 + 10z + -10z Combine like terms: 10z + -10z = 0 -29 + 20z = 10 + 0 -29 + 20z = 10 Add '29' to each side of the equation. -29 + 29 + 20z = 10 + 29 Combine like terms: -29 + 29 = 0 0 + 20z = 10 + 29 20z = 10 + 29 Combine like terms: 10 + 29 = 39 20z = 39 Divide each side by '20'. z = 1.95 Simplifying z = 1.95
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