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Simplifying 8(a + -2) = 2(2a + 6) Reorder the terms: 8(-2 + a) = 2(2a + 6) (-2 * 8 + a * 8) = 2(2a + 6) (-16 + 8a) = 2(2a + 6) Reorder the terms: -16 + 8a = 2(6 + 2a) -16 + 8a = (6 * 2 + 2a * 2) -16 + 8a = (12 + 4a) Solving -16 + 8a = 12 + 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. -16 + 8a + -4a = 12 + 4a + -4a Combine like terms: 8a + -4a = 4a -16 + 4a = 12 + 4a + -4a Combine like terms: 4a + -4a = 0 -16 + 4a = 12 + 0 -16 + 4a = 12 Add '16' to each side of the equation. -16 + 16 + 4a = 12 + 16 Combine like terms: -16 + 16 = 0 0 + 4a = 12 + 16 4a = 12 + 16 Combine like terms: 12 + 16 = 28 4a = 28 Divide each side by '4'. a = 7 Simplifying a = 7
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