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Simplifying 4(a + -4) = (a + -5) Reorder the terms: 4(-4 + a) = (a + -5) (-4 * 4 + a * 4) = (a + -5) (-16 + 4a) = (a + -5) Reorder the terms: -16 + 4a = (-5 + a) Remove parenthesis around (-5 + a) -16 + 4a = -5 + a Solving -16 + 4a = -5 + 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. -16 + 4a + -1a = -5 + a + -1a Combine like terms: 4a + -1a = 3a -16 + 3a = -5 + a + -1a Combine like terms: a + -1a = 0 -16 + 3a = -5 + 0 -16 + 3a = -5 Add '16' to each side of the equation. -16 + 16 + 3a = -5 + 16 Combine like terms: -16 + 16 = 0 0 + 3a = -5 + 16 3a = -5 + 16 Combine like terms: -5 + 16 = 11 3a = 11 Divide each side by '3'. a = 3.666666667 Simplifying a = 3.666666667
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