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Simplifying 4(6z + -1) + -2(z + 7) = 15(z + 1) Reorder the terms: 4(-1 + 6z) + -2(z + 7) = 15(z + 1) (-1 * 4 + 6z * 4) + -2(z + 7) = 15(z + 1) (-4 + 24z) + -2(z + 7) = 15(z + 1) Reorder the terms: -4 + 24z + -2(7 + z) = 15(z + 1) -4 + 24z + (7 * -2 + z * -2) = 15(z + 1) -4 + 24z + (-14 + -2z) = 15(z + 1) Reorder the terms: -4 + -14 + 24z + -2z = 15(z + 1) Combine like terms: -4 + -14 = -18 -18 + 24z + -2z = 15(z + 1) Combine like terms: 24z + -2z = 22z -18 + 22z = 15(z + 1) Reorder the terms: -18 + 22z = 15(1 + z) -18 + 22z = (1 * 15 + z * 15) -18 + 22z = (15 + 15z) Solving -18 + 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. -18 + 22z + -15z = 15 + 15z + -15z Combine like terms: 22z + -15z = 7z -18 + 7z = 15 + 15z + -15z Combine like terms: 15z + -15z = 0 -18 + 7z = 15 + 0 -18 + 7z = 15 Add '18' to each side of the equation. -18 + 18 + 7z = 15 + 18 Combine like terms: -18 + 18 = 0 0 + 7z = 15 + 18 7z = 15 + 18 Combine like terms: 15 + 18 = 33 7z = 33 Divide each side by '7'. z = 4.714285714 Simplifying z = 4.714285714
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