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Simplifying 6(a + -3) = 5(a + 2) Reorder the terms: 6(-3 + a) = 5(a + 2) (-3 * 6 + a * 6) = 5(a + 2) (-18 + 6a) = 5(a + 2) Reorder the terms: -18 + 6a = 5(2 + a) -18 + 6a = (2 * 5 + a * 5) -18 + 6a = (10 + 5a) Solving -18 + 6a = 10 + 5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5a' to each side of the equation. -18 + 6a + -5a = 10 + 5a + -5a Combine like terms: 6a + -5a = 1a -18 + 1a = 10 + 5a + -5a Combine like terms: 5a + -5a = 0 -18 + 1a = 10 + 0 -18 + 1a = 10 Add '18' to each side of the equation. -18 + 18 + 1a = 10 + 18 Combine like terms: -18 + 18 = 0 0 + 1a = 10 + 18 1a = 10 + 18 Combine like terms: 10 + 18 = 28 1a = 28 Divide each side by '1'. a = 28 Simplifying a = 28
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