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Simplifying -4(a + -4) = 40 + -1a Reorder the terms: -4(-4 + a) = 40 + -1a (-4 * -4 + a * -4) = 40 + -1a (16 + -4a) = 40 + -1a Solving 16 + -4a = 40 + -1a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'a' to each side of the equation. 16 + -4a + a = 40 + -1a + a Combine like terms: -4a + a = -3a 16 + -3a = 40 + -1a + a Combine like terms: -1a + a = 0 16 + -3a = 40 + 0 16 + -3a = 40 Add '-16' to each side of the equation. 16 + -16 + -3a = 40 + -16 Combine like terms: 16 + -16 = 0 0 + -3a = 40 + -16 -3a = 40 + -16 Combine like terms: 40 + -16 = 24 -3a = 24 Divide each side by '-3'. a = -8 Simplifying a = -8
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