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Simplifying 18 + -1(a + -4) = 9 + (a + 3) Reorder the terms: 18 + -1(-4 + a) = 9 + (a + 3) 18 + (-4 * -1 + a * -1) = 9 + (a + 3) 18 + (4 + -1a) = 9 + (a + 3) Combine like terms: 18 + 4 = 22 22 + -1a = 9 + (a + 3) Reorder the terms: 22 + -1a = 9 + (3 + a) Remove parenthesis around (3 + a) 22 + -1a = 9 + 3 + a Combine like terms: 9 + 3 = 12 22 + -1a = 12 + a Solving 22 + -1a = 12 + a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a' to each side of the equation. 22 + -1a + -1a = 12 + a + -1a Combine like terms: -1a + -1a = -2a 22 + -2a = 12 + a + -1a Combine like terms: a + -1a = 0 22 + -2a = 12 + 0 22 + -2a = 12 Add '-22' to each side of the equation. 22 + -22 + -2a = 12 + -22 Combine like terms: 22 + -22 = 0 0 + -2a = 12 + -22 -2a = 12 + -22 Combine like terms: 12 + -22 = -10 -2a = -10 Divide each side by '-2'. a = 5 Simplifying a = 5
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