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Simplifying 2(a + -4) + 4 = 5(9 + -1a) Reorder the terms: 2(-4 + a) + 4 = 5(9 + -1a) (-4 * 2 + a * 2) + 4 = 5(9 + -1a) (-8 + 2a) + 4 = 5(9 + -1a) Reorder the terms: -8 + 4 + 2a = 5(9 + -1a) Combine like terms: -8 + 4 = -4 -4 + 2a = 5(9 + -1a) -4 + 2a = (9 * 5 + -1a * 5) -4 + 2a = (45 + -5a) Solving -4 + 2a = 45 + -5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '5a' to each side of the equation. -4 + 2a + 5a = 45 + -5a + 5a Combine like terms: 2a + 5a = 7a -4 + 7a = 45 + -5a + 5a Combine like terms: -5a + 5a = 0 -4 + 7a = 45 + 0 -4 + 7a = 45 Add '4' to each side of the equation. -4 + 4 + 7a = 45 + 4 Combine like terms: -4 + 4 = 0 0 + 7a = 45 + 4 7a = 45 + 4 Combine like terms: 45 + 4 = 49 7a = 49 Divide each side by '7'. a = 7 Simplifying a = 7
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