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Simplifying a + (a + 8)(-8) = a + -8 Reorder the terms: a + (8 + a)(-8) = a + -8 Reorder the terms for easier multiplication: a + -8(8 + a) = a + -8 a + (8 * -8 + a * -8) = a + -8 a + (-64 + -8a) = a + -8 Reorder the terms: -64 + a + -8a = a + -8 Combine like terms: a + -8a = -7a -64 + -7a = a + -8 Reorder the terms: -64 + -7a = -8 + a Solving -64 + -7a = -8 + 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. -64 + -7a + -1a = -8 + a + -1a Combine like terms: -7a + -1a = -8a -64 + -8a = -8 + a + -1a Combine like terms: a + -1a = 0 -64 + -8a = -8 + 0 -64 + -8a = -8 Add '64' to each side of the equation. -64 + 64 + -8a = -8 + 64 Combine like terms: -64 + 64 = 0 0 + -8a = -8 + 64 -8a = -8 + 64 Combine like terms: -8 + 64 = 56 -8a = 56 Divide each side by '-8'. a = -7 Simplifying a = -7
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