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Simplifying 18 = 15a + -3(4a + -4) Reorder the terms: 18 = 15a + -3(-4 + 4a) 18 = 15a + (-4 * -3 + 4a * -3) 18 = 15a + (12 + -12a) Reorder the terms: 18 = 12 + 15a + -12a Combine like terms: 15a + -12a = 3a 18 = 12 + 3a Solving 18 = 12 + 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. 18 + -3a = 12 + 3a + -3a Combine like terms: 3a + -3a = 0 18 + -3a = 12 + 0 18 + -3a = 12 Add '-18' to each side of the equation. 18 + -18 + -3a = 12 + -18 Combine like terms: 18 + -18 = 0 0 + -3a = 12 + -18 -3a = 12 + -18 Combine like terms: 12 + -18 = -6 -3a = -6 Divide each side by '-3'. a = 2 Simplifying a = 2
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