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Simplifying 18 + -4a = 2a + -4(a + 3) Reorder the terms: 18 + -4a = 2a + -4(3 + a) 18 + -4a = 2a + (3 * -4 + a * -4) 18 + -4a = 2a + (-12 + -4a) Reorder the terms: 18 + -4a = -12 + 2a + -4a Combine like terms: 2a + -4a = -2a 18 + -4a = -12 + -2a Solving 18 + -4a = -12 + -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 + -4a + 2a = -12 + -2a + 2a Combine like terms: -4a + 2a = -2a 18 + -2a = -12 + -2a + 2a Combine like terms: -2a + 2a = 0 18 + -2a = -12 + 0 18 + -2a = -12 Add '-18' to each side of the equation. 18 + -18 + -2a = -12 + -18 Combine like terms: 18 + -18 = 0 0 + -2a = -12 + -18 -2a = -12 + -18 Combine like terms: -12 + -18 = -30 -2a = -30 Divide each side by '-2'. a = 15 Simplifying a = 15
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