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Simplifying 8(a + -2) = 2(a + 4) Reorder the terms: 8(-2 + a) = 2(a + 4) (-2 * 8 + a * 8) = 2(a + 4) (-16 + 8a) = 2(a + 4) Reorder the terms: -16 + 8a = 2(4 + a) -16 + 8a = (4 * 2 + a * 2) -16 + 8a = (8 + 2a) Solving -16 + 8a = 8 + 2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. -16 + 8a + -2a = 8 + 2a + -2a Combine like terms: 8a + -2a = 6a -16 + 6a = 8 + 2a + -2a Combine like terms: 2a + -2a = 0 -16 + 6a = 8 + 0 -16 + 6a = 8 Add '16' to each side of the equation. -16 + 16 + 6a = 8 + 16 Combine like terms: -16 + 16 = 0 0 + 6a = 8 + 16 6a = 8 + 16 Combine like terms: 8 + 16 = 24 6a = 24 Divide each side by '6'. a = 4 Simplifying a = 4
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