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Simplifying 4(6z + -1) + -3(z + 2) = 18(z + 1) Reorder the terms: 4(-1 + 6z) + -3(z + 2) = 18(z + 1) (-1 * 4 + 6z * 4) + -3(z + 2) = 18(z + 1) (-4 + 24z) + -3(z + 2) = 18(z + 1) Reorder the terms: -4 + 24z + -3(2 + z) = 18(z + 1) -4 + 24z + (2 * -3 + z * -3) = 18(z + 1) -4 + 24z + (-6 + -3z) = 18(z + 1) Reorder the terms: -4 + -6 + 24z + -3z = 18(z + 1) Combine like terms: -4 + -6 = -10 -10 + 24z + -3z = 18(z + 1) Combine like terms: 24z + -3z = 21z -10 + 21z = 18(z + 1) Reorder the terms: -10 + 21z = 18(1 + z) -10 + 21z = (1 * 18 + z * 18) -10 + 21z = (18 + 18z) Solving -10 + 21z = 18 + 18z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-18z' to each side of the equation. -10 + 21z + -18z = 18 + 18z + -18z Combine like terms: 21z + -18z = 3z -10 + 3z = 18 + 18z + -18z Combine like terms: 18z + -18z = 0 -10 + 3z = 18 + 0 -10 + 3z = 18 Add '10' to each side of the equation. -10 + 10 + 3z = 18 + 10 Combine like terms: -10 + 10 = 0 0 + 3z = 18 + 10 3z = 18 + 10 Combine like terms: 18 + 10 = 28 3z = 28 Divide each side by '3'. z = 9.333333333 Simplifying z = 9.333333333
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