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Simplifying 4a + -3(a + -6) = 3 + 2a Reorder the terms: 4a + -3(-6 + a) = 3 + 2a 4a + (-6 * -3 + a * -3) = 3 + 2a 4a + (18 + -3a) = 3 + 2a Reorder the terms: 18 + 4a + -3a = 3 + 2a Combine like terms: 4a + -3a = 1a 18 + 1a = 3 + 2a Solving 18 + 1a = 3 + 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 + 1a + -2a = 3 + 2a + -2a Combine like terms: 1a + -2a = -1a 18 + -1a = 3 + 2a + -2a Combine like terms: 2a + -2a = 0 18 + -1a = 3 + 0 18 + -1a = 3 Add '-18' to each side of the equation. 18 + -18 + -1a = 3 + -18 Combine like terms: 18 + -18 = 0 0 + -1a = 3 + -18 -1a = 3 + -18 Combine like terms: 3 + -18 = -15 -1a = -15 Divide each side by '-1'. a = 15 Simplifying a = 15
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