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Simplifying 4(6z + -1) + -2(z + 4) = 3(z + 1) Reorder the terms: 4(-1 + 6z) + -2(z + 4) = 3(z + 1) (-1 * 4 + 6z * 4) + -2(z + 4) = 3(z + 1) (-4 + 24z) + -2(z + 4) = 3(z + 1) Reorder the terms: -4 + 24z + -2(4 + z) = 3(z + 1) -4 + 24z + (4 * -2 + z * -2) = 3(z + 1) -4 + 24z + (-8 + -2z) = 3(z + 1) Reorder the terms: -4 + -8 + 24z + -2z = 3(z + 1) Combine like terms: -4 + -8 = -12 -12 + 24z + -2z = 3(z + 1) Combine like terms: 24z + -2z = 22z -12 + 22z = 3(z + 1) Reorder the terms: -12 + 22z = 3(1 + z) -12 + 22z = (1 * 3 + z * 3) -12 + 22z = (3 + 3z) Solving -12 + 22z = 3 + 3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3z' to each side of the equation. -12 + 22z + -3z = 3 + 3z + -3z Combine like terms: 22z + -3z = 19z -12 + 19z = 3 + 3z + -3z Combine like terms: 3z + -3z = 0 -12 + 19z = 3 + 0 -12 + 19z = 3 Add '12' to each side of the equation. -12 + 12 + 19z = 3 + 12 Combine like terms: -12 + 12 = 0 0 + 19z = 3 + 12 19z = 3 + 12 Combine like terms: 3 + 12 = 15 19z = 15 Divide each side by '19'. z = 0.7894736842 Simplifying z = 0.7894736842
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