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Simplifying 4(6z + -1) + -3(z + 2) = 15z + 1 Reorder the terms: 4(-1 + 6z) + -3(z + 2) = 15z + 1 (-1 * 4 + 6z * 4) + -3(z + 2) = 15z + 1 (-4 + 24z) + -3(z + 2) = 15z + 1 Reorder the terms: -4 + 24z + -3(2 + z) = 15z + 1 -4 + 24z + (2 * -3 + z * -3) = 15z + 1 -4 + 24z + (-6 + -3z) = 15z + 1 Reorder the terms: -4 + -6 + 24z + -3z = 15z + 1 Combine like terms: -4 + -6 = -10 -10 + 24z + -3z = 15z + 1 Combine like terms: 24z + -3z = 21z -10 + 21z = 15z + 1 Reorder the terms: -10 + 21z = 1 + 15z Solving -10 + 21z = 1 + 15z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-15z' to each side of the equation. -10 + 21z + -15z = 1 + 15z + -15z Combine like terms: 21z + -15z = 6z -10 + 6z = 1 + 15z + -15z Combine like terms: 15z + -15z = 0 -10 + 6z = 1 + 0 -10 + 6z = 1 Add '10' to each side of the equation. -10 + 10 + 6z = 1 + 10 Combine like terms: -10 + 10 = 0 0 + 6z = 1 + 10 6z = 1 + 10 Combine like terms: 1 + 10 = 11 6z = 11 Divide each side by '6'. z = 1.833333333 Simplifying z = 1.833333333
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