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Simplifying 4(a + -4) = 8(a + 5) Reorder the terms: 4(-4 + a) = 8(a + 5) (-4 * 4 + a * 4) = 8(a + 5) (-16 + 4a) = 8(a + 5) Reorder the terms: -16 + 4a = 8(5 + a) -16 + 4a = (5 * 8 + a * 8) -16 + 4a = (40 + 8a) Solving -16 + 4a = 40 + 8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8a' to each side of the equation. -16 + 4a + -8a = 40 + 8a + -8a Combine like terms: 4a + -8a = -4a -16 + -4a = 40 + 8a + -8a Combine like terms: 8a + -8a = 0 -16 + -4a = 40 + 0 -16 + -4a = 40 Add '16' to each side of the equation. -16 + 16 + -4a = 40 + 16 Combine like terms: -16 + 16 = 0 0 + -4a = 40 + 16 -4a = 40 + 16 Combine like terms: 40 + 16 = 56 -4a = 56 Divide each side by '-4'. a = -14 Simplifying a = -14
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