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Simplifying -8(a + 8) = -16 + 4a Reorder the terms: -8(8 + a) = -16 + 4a (8 * -8 + a * -8) = -16 + 4a (-64 + -8a) = -16 + 4a Solving -64 + -8a = -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. -64 + -8a + -4a = -16 + 4a + -4a Combine like terms: -8a + -4a = -12a -64 + -12a = -16 + 4a + -4a Combine like terms: 4a + -4a = 0 -64 + -12a = -16 + 0 -64 + -12a = -16 Add '64' to each side of the equation. -64 + 64 + -12a = -16 + 64 Combine like terms: -64 + 64 = 0 0 + -12a = -16 + 64 -12a = -16 + 64 Combine like terms: -16 + 64 = 48 -12a = 48 Divide each side by '-12'. a = -4 Simplifying a = -4
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