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Simplifying 4(a + -4) = 3(a + 4) Reorder the terms: 4(-4 + a) = 3(a + 4) (-4 * 4 + a * 4) = 3(a + 4) (-16 + 4a) = 3(a + 4) Reorder the terms: -16 + 4a = 3(4 + a) -16 + 4a = (4 * 3 + a * 3) -16 + 4a = (12 + 3a) Solving -16 + 4a = 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. -16 + 4a + -3a = 12 + 3a + -3a Combine like terms: 4a + -3a = 1a -16 + 1a = 12 + 3a + -3a Combine like terms: 3a + -3a = 0 -16 + 1a = 12 + 0 -16 + 1a = 12 Add '16' to each side of the equation. -16 + 16 + 1a = 12 + 16 Combine like terms: -16 + 16 = 0 0 + 1a = 12 + 16 1a = 12 + 16 Combine like terms: 12 + 16 = 28 1a = 28 Divide each side by '1'. a = 28 Simplifying a = 28
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