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Simplifying 10 + 4a = 3(a + -6) Reorder the terms: 10 + 4a = 3(-6 + a) 10 + 4a = (-6 * 3 + a * 3) 10 + 4a = (-18 + 3a) Solving 10 + 4a = -18 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. 10 + 4a + -3a = -18 + 3a + -3a Combine like terms: 4a + -3a = 1a 10 + 1a = -18 + 3a + -3a Combine like terms: 3a + -3a = 0 10 + 1a = -18 + 0 10 + 1a = -18 Add '-10' to each side of the equation. 10 + -10 + 1a = -18 + -10 Combine like terms: 10 + -10 = 0 0 + 1a = -18 + -10 1a = -18 + -10 Combine like terms: -18 + -10 = -28 1a = -28 Divide each side by '1'. a = -28 Simplifying a = -28
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