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Simplifying 4(6z + -1) + -2(z + 4) = 15(z + 1) Reorder the terms: 4(-1 + 6z) + -2(z + 4) = 15(z + 1) (-1 * 4 + 6z * 4) + -2(z + 4) = 15(z + 1) (-4 + 24z) + -2(z + 4) = 15(z + 1) Reorder the terms: -4 + 24z + -2(4 + z) = 15(z + 1) -4 + 24z + (4 * -2 + z * -2) = 15(z + 1) -4 + 24z + (-8 + -2z) = 15(z + 1) Reorder the terms: -4 + -8 + 24z + -2z = 15(z + 1) Combine like terms: -4 + -8 = -12 -12 + 24z + -2z = 15(z + 1) Combine like terms: 24z + -2z = 22z -12 + 22z = 15(z + 1) Reorder the terms: -12 + 22z = 15(1 + z) -12 + 22z = (1 * 15 + z * 15) -12 + 22z = (15 + 15z) Solving -12 + 22z = 15 + 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. -12 + 22z + -15z = 15 + 15z + -15z Combine like terms: 22z + -15z = 7z -12 + 7z = 15 + 15z + -15z Combine like terms: 15z + -15z = 0 -12 + 7z = 15 + 0 -12 + 7z = 15 Add '12' to each side of the equation. -12 + 12 + 7z = 15 + 12 Combine like terms: -12 + 12 = 0 0 + 7z = 15 + 12 7z = 15 + 12 Combine like terms: 15 + 12 = 27 7z = 27 Divide each side by '7'. z = 3.857142857 Simplifying z = 3.857142857
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