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Simplifying 4(6z + -1) + -5Z + 1 = 14(z + 1) Reorder the terms: 4(-1 + 6z) + -5Z + 1 = 14(z + 1) (-1 * 4 + 6z * 4) + -5Z + 1 = 14(z + 1) (-4 + 24z) + -5Z + 1 = 14(z + 1) Reorder the terms: -4 + 1 + -5Z + 24z = 14(z + 1) Combine like terms: -4 + 1 = -3 -3 + -5Z + 24z = 14(z + 1) Reorder the terms: -3 + -5Z + 24z = 14(1 + z) -3 + -5Z + 24z = (1 * 14 + z * 14) -3 + -5Z + 24z = (14 + 14z) Solving -3 + -5Z + 24z = 14 + 14z Solving for variable 'Z'. Move all terms containing Z to the left, all other terms to the right. Add '3' to each side of the equation. -3 + -5Z + 3 + 24z = 14 + 3 + 14z Reorder the terms: -3 + 3 + -5Z + 24z = 14 + 3 + 14z Combine like terms: -3 + 3 = 0 0 + -5Z + 24z = 14 + 3 + 14z -5Z + 24z = 14 + 3 + 14z Combine like terms: 14 + 3 = 17 -5Z + 24z = 17 + 14z Add '-24z' to each side of the equation. -5Z + 24z + -24z = 17 + 14z + -24z Combine like terms: 24z + -24z = 0 -5Z + 0 = 17 + 14z + -24z -5Z = 17 + 14z + -24z Combine like terms: 14z + -24z = -10z -5Z = 17 + -10z Divide each side by '-5'. Z = -3.4 + 2z Simplifying Z = -3.4 + 2z
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