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Simplifying -4(a + 6) = 4(a + -4) Reorder the terms: -4(6 + a) = 4(a + -4) (6 * -4 + a * -4) = 4(a + -4) (-24 + -4a) = 4(a + -4) Reorder the terms: -24 + -4a = 4(-4 + a) -24 + -4a = (-4 * 4 + a * 4) -24 + -4a = (-16 + 4a) Solving -24 + -4a = -16 + 4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a' to each side of the equation. -24 + -4a + -4a = -16 + 4a + -4a Combine like terms: -4a + -4a = -8a -24 + -8a = -16 + 4a + -4a Combine like terms: 4a + -4a = 0 -24 + -8a = -16 + 0 -24 + -8a = -16 Add '24' to each side of the equation. -24 + 24 + -8a = -16 + 24 Combine like terms: -24 + 24 = 0 0 + -8a = -16 + 24 -8a = -16 + 24 Combine like terms: -16 + 24 = 8 -8a = 8 Divide each side by '-8'. a = -1 Simplifying a = -1
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