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Simplifying 6(4z + -1) + -3(2 + 4) = 10(z + 1) Reorder the terms: 6(-1 + 4z) + -3(2 + 4) = 10(z + 1) (-1 * 6 + 4z * 6) + -3(2 + 4) = 10(z + 1) (-6 + 24z) + -3(2 + 4) = 10(z + 1) Combine like terms: 2 + 4 = 6 -6 + 24z + -3(6) = 10(z + 1) Multiply -3 * 6 -6 + 24z + -18 = 10(z + 1) Reorder the terms: -6 + -18 + 24z = 10(z + 1) Combine like terms: -6 + -18 = -24 -24 + 24z = 10(z + 1) Reorder the terms: -24 + 24z = 10(1 + z) -24 + 24z = (1 * 10 + z * 10) -24 + 24z = (10 + 10z) Solving -24 + 24z = 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. -24 + 24z + -10z = 10 + 10z + -10z Combine like terms: 24z + -10z = 14z -24 + 14z = 10 + 10z + -10z Combine like terms: 10z + -10z = 0 -24 + 14z = 10 + 0 -24 + 14z = 10 Add '24' to each side of the equation. -24 + 24 + 14z = 10 + 24 Combine like terms: -24 + 24 = 0 0 + 14z = 10 + 24 14z = 10 + 24 Combine like terms: 10 + 24 = 34 14z = 34 Divide each side by '14'. z = 2.428571429 Simplifying z = 2.428571429
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