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Simplifying 4(6z + -1) + -3(z + 6) = 5(z + 1) Reorder the terms: 4(-1 + 6z) + -3(z + 6) = 5(z + 1) (-1 * 4 + 6z * 4) + -3(z + 6) = 5(z + 1) (-4 + 24z) + -3(z + 6) = 5(z + 1) Reorder the terms: -4 + 24z + -3(6 + z) = 5(z + 1) -4 + 24z + (6 * -3 + z * -3) = 5(z + 1) -4 + 24z + (-18 + -3z) = 5(z + 1) Reorder the terms: -4 + -18 + 24z + -3z = 5(z + 1) Combine like terms: -4 + -18 = -22 -22 + 24z + -3z = 5(z + 1) Combine like terms: 24z + -3z = 21z -22 + 21z = 5(z + 1) Reorder the terms: -22 + 21z = 5(1 + z) -22 + 21z = (1 * 5 + z * 5) -22 + 21z = (5 + 5z) Solving -22 + 21z = 5 + 5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5z' to each side of the equation. -22 + 21z + -5z = 5 + 5z + -5z Combine like terms: 21z + -5z = 16z -22 + 16z = 5 + 5z + -5z Combine like terms: 5z + -5z = 0 -22 + 16z = 5 + 0 -22 + 16z = 5 Add '22' to each side of the equation. -22 + 22 + 16z = 5 + 22 Combine like terms: -22 + 22 = 0 0 + 16z = 5 + 22 16z = 5 + 22 Combine like terms: 5 + 22 = 27 16z = 27 Divide each side by '16'. z = 1.6875 Simplifying z = 1.6875
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