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Simplifying 4(6z + -1) + -5(z + 3) = 6(z + 1) Reorder the terms: 4(-1 + 6z) + -5(z + 3) = 6(z + 1) (-1 * 4 + 6z * 4) + -5(z + 3) = 6(z + 1) (-4 + 24z) + -5(z + 3) = 6(z + 1) Reorder the terms: -4 + 24z + -5(3 + z) = 6(z + 1) -4 + 24z + (3 * -5 + z * -5) = 6(z + 1) -4 + 24z + (-15 + -5z) = 6(z + 1) Reorder the terms: -4 + -15 + 24z + -5z = 6(z + 1) Combine like terms: -4 + -15 = -19 -19 + 24z + -5z = 6(z + 1) Combine like terms: 24z + -5z = 19z -19 + 19z = 6(z + 1) Reorder the terms: -19 + 19z = 6(1 + z) -19 + 19z = (1 * 6 + z * 6) -19 + 19z = (6 + 6z) Solving -19 + 19z = 6 + 6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-6z' to each side of the equation. -19 + 19z + -6z = 6 + 6z + -6z Combine like terms: 19z + -6z = 13z -19 + 13z = 6 + 6z + -6z Combine like terms: 6z + -6z = 0 -19 + 13z = 6 + 0 -19 + 13z = 6 Add '19' to each side of the equation. -19 + 19 + 13z = 6 + 19 Combine like terms: -19 + 19 = 0 0 + 13z = 6 + 19 13z = 6 + 19 Combine like terms: 6 + 19 = 25 13z = 25 Divide each side by '13'. z = 1.923076923 Simplifying z = 1.923076923
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