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Simplifying 4(a + -4) = 2(a + 5) Reorder the terms: 4(-4 + a) = 2(a + 5) (-4 * 4 + a * 4) = 2(a + 5) (-16 + 4a) = 2(a + 5) Reorder the terms: -16 + 4a = 2(5 + a) -16 + 4a = (5 * 2 + a * 2) -16 + 4a = (10 + 2a) Solving -16 + 4a = 10 + 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. -16 + 4a + -2a = 10 + 2a + -2a Combine like terms: 4a + -2a = 2a -16 + 2a = 10 + 2a + -2a Combine like terms: 2a + -2a = 0 -16 + 2a = 10 + 0 -16 + 2a = 10 Add '16' to each side of the equation. -16 + 16 + 2a = 10 + 16 Combine like terms: -16 + 16 = 0 0 + 2a = 10 + 16 2a = 10 + 16 Combine like terms: 10 + 16 = 26 2a = 26 Divide each side by '2'. a = 13 Simplifying a = 13
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