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Simplifying 6(5a + -3) = 3(1 + -2a) Reorder the terms: 6(-3 + 5a) = 3(1 + -2a) (-3 * 6 + 5a * 6) = 3(1 + -2a) (-18 + 30a) = 3(1 + -2a) -18 + 30a = (1 * 3 + -2a * 3) -18 + 30a = (3 + -6a) Solving -18 + 30a = 3 + -6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '6a' to each side of the equation. -18 + 30a + 6a = 3 + -6a + 6a Combine like terms: 30a + 6a = 36a -18 + 36a = 3 + -6a + 6a Combine like terms: -6a + 6a = 0 -18 + 36a = 3 + 0 -18 + 36a = 3 Add '18' to each side of the equation. -18 + 18 + 36a = 3 + 18 Combine like terms: -18 + 18 = 0 0 + 36a = 3 + 18 36a = 3 + 18 Combine like terms: 3 + 18 = 21 36a = 21 Divide each side by '36'. a = 0.5833333333 Simplifying a = 0.5833333333
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