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Simplifying 6(a + -3) = 2(a + 5) Reorder the terms: 6(-3 + a) = 2(a + 5) (-3 * 6 + a * 6) = 2(a + 5) (-18 + 6a) = 2(a + 5) Reorder the terms: -18 + 6a = 2(5 + a) -18 + 6a = (5 * 2 + a * 2) -18 + 6a = (10 + 2a) Solving -18 + 6a = 10 + 2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. -18 + 6a + -2a = 10 + 2a + -2a Combine like terms: 6a + -2a = 4a -18 + 4a = 10 + 2a + -2a Combine like terms: 2a + -2a = 0 -18 + 4a = 10 + 0 -18 + 4a = 10 Add '18' to each side of the equation. -18 + 18 + 4a = 10 + 18 Combine like terms: -18 + 18 = 0 0 + 4a = 10 + 18 4a = 10 + 18 Combine like terms: 10 + 18 = 28 4a = 28 Divide each side by '4'. a = 7 Simplifying a = 7
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