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Simplifying 3(8 + -1a) = 18(5 + -3a) (8 * 3 + -1a * 3) = 18(5 + -3a) (24 + -3a) = 18(5 + -3a) 24 + -3a = (5 * 18 + -3a * 18) 24 + -3a = (90 + -54a) Solving 24 + -3a = 90 + -54a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '54a' to each side of the equation. 24 + -3a + 54a = 90 + -54a + 54a Combine like terms: -3a + 54a = 51a 24 + 51a = 90 + -54a + 54a Combine like terms: -54a + 54a = 0 24 + 51a = 90 + 0 24 + 51a = 90 Add '-24' to each side of the equation. 24 + -24 + 51a = 90 + -24 Combine like terms: 24 + -24 = 0 0 + 51a = 90 + -24 51a = 90 + -24 Combine like terms: 90 + -24 = 66 51a = 66 Divide each side by '51'. a = 1.294117647 Simplifying a = 1.294117647
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