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Simplifying 4(a + 3) = 18 + -2(a + -2a) Reorder the terms: 4(3 + a) = 18 + -2(a + -2a) (3 * 4 + a * 4) = 18 + -2(a + -2a) (12 + 4a) = 18 + -2(a + -2a) Combine like terms: a + -2a = -1a 12 + 4a = 18 + -2(-1a) Remove parenthesis around (-1a) 12 + 4a = 18 + -2 * -1a Multiply -2 * -1 12 + 4a = 18 + 2a Solving 12 + 4a = 18 + 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. 12 + 4a + -2a = 18 + 2a + -2a Combine like terms: 4a + -2a = 2a 12 + 2a = 18 + 2a + -2a Combine like terms: 2a + -2a = 0 12 + 2a = 18 + 0 12 + 2a = 18 Add '-12' to each side of the equation. 12 + -12 + 2a = 18 + -12 Combine like terms: 12 + -12 = 0 0 + 2a = 18 + -12 2a = 18 + -12 Combine like terms: 18 + -12 = 6 2a = 6 Divide each side by '2'. a = 3 Simplifying a = 3
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