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Simplifying 2(a + -7) = 2(9 + -2a) Reorder the terms: 2(-7 + a) = 2(9 + -2a) (-7 * 2 + a * 2) = 2(9 + -2a) (-14 + 2a) = 2(9 + -2a) -14 + 2a = (9 * 2 + -2a * 2) -14 + 2a = (18 + -4a) Solving -14 + 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. -14 + 2a + 4a = 18 + -4a + 4a Combine like terms: 2a + 4a = 6a -14 + 6a = 18 + -4a + 4a Combine like terms: -4a + 4a = 0 -14 + 6a = 18 + 0 -14 + 6a = 18 Add '14' to each side of the equation. -14 + 14 + 6a = 18 + 14 Combine like terms: -14 + 14 = 0 0 + 6a = 18 + 14 6a = 18 + 14 Combine like terms: 18 + 14 = 32 6a = 32 Divide each side by '6'. a = 5.333333333 Simplifying a = 5.333333333
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