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Simplifying 2(3a + 2) = 7(a + -2) Reorder the terms: 2(2 + 3a) = 7(a + -2) (2 * 2 + 3a * 2) = 7(a + -2) (4 + 6a) = 7(a + -2) Reorder the terms: 4 + 6a = 7(-2 + a) 4 + 6a = (-2 * 7 + a * 7) 4 + 6a = (-14 + 7a) Solving 4 + 6a = -14 + 7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7a' to each side of the equation. 4 + 6a + -7a = -14 + 7a + -7a Combine like terms: 6a + -7a = -1a 4 + -1a = -14 + 7a + -7a Combine like terms: 7a + -7a = 0 4 + -1a = -14 + 0 4 + -1a = -14 Add '-4' to each side of the equation. 4 + -4 + -1a = -14 + -4 Combine like terms: 4 + -4 = 0 0 + -1a = -14 + -4 -1a = -14 + -4 Combine like terms: -14 + -4 = -18 -1a = -18 Divide each side by '-1'. a = 18 Simplifying a = 18
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