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Simplifying 7(a + -4) + 2(a + 12) = a + -8 Reorder the terms: 7(-4 + a) + 2(a + 12) = a + -8 (-4 * 7 + a * 7) + 2(a + 12) = a + -8 (-28 + 7a) + 2(a + 12) = a + -8 Reorder the terms: -28 + 7a + 2(12 + a) = a + -8 -28 + 7a + (12 * 2 + a * 2) = a + -8 -28 + 7a + (24 + 2a) = a + -8 Reorder the terms: -28 + 24 + 7a + 2a = a + -8 Combine like terms: -28 + 24 = -4 -4 + 7a + 2a = a + -8 Combine like terms: 7a + 2a = 9a -4 + 9a = a + -8 Reorder the terms: -4 + 9a = -8 + a Solving -4 + 9a = -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. -4 + 9a + -1a = -8 + a + -1a Combine like terms: 9a + -1a = 8a -4 + 8a = -8 + a + -1a Combine like terms: a + -1a = 0 -4 + 8a = -8 + 0 -4 + 8a = -8 Add '4' to each side of the equation. -4 + 4 + 8a = -8 + 4 Combine like terms: -4 + 4 = 0 0 + 8a = -8 + 4 8a = -8 + 4 Combine like terms: -8 + 4 = -4 8a = -4 Divide each side by '8'. a = -0.5 Simplifying a = -0.5
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