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Simplifying 2(a + -8) = 2(9 + -2a) Reorder the terms: 2(-8 + a) = 2(9 + -2a) (-8 * 2 + a * 2) = 2(9 + -2a) (-16 + 2a) = 2(9 + -2a) -16 + 2a = (9 * 2 + -2a * 2) -16 + 2a = (18 + -4a) Solving -16 + 2a = 18 + -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 + 2a + 4a = 18 + -4a + 4a Combine like terms: 2a + 4a = 6a -16 + 6a = 18 + -4a + 4a Combine like terms: -4a + 4a = 0 -16 + 6a = 18 + 0 -16 + 6a = 18 Add '16' to each side of the equation. -16 + 16 + 6a = 18 + 16 Combine like terms: -16 + 16 = 0 0 + 6a = 18 + 16 6a = 18 + 16 Combine like terms: 18 + 16 = 34 6a = 34 Divide each side by '6'. a = 5.666666667 Simplifying a = 5.666666667
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