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Simplifying -6(a + 3) + 2 = 4(7 + -7a) Reorder the terms: -6(3 + a) + 2 = 4(7 + -7a) (3 * -6 + a * -6) + 2 = 4(7 + -7a) (-18 + -6a) + 2 = 4(7 + -7a) Reorder the terms: -18 + 2 + -6a = 4(7 + -7a) Combine like terms: -18 + 2 = -16 -16 + -6a = 4(7 + -7a) -16 + -6a = (7 * 4 + -7a * 4) -16 + -6a = (28 + -28a) Solving -16 + -6a = 28 + -28a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '28a' to each side of the equation. -16 + -6a + 28a = 28 + -28a + 28a Combine like terms: -6a + 28a = 22a -16 + 22a = 28 + -28a + 28a Combine like terms: -28a + 28a = 0 -16 + 22a = 28 + 0 -16 + 22a = 28 Add '16' to each side of the equation. -16 + 16 + 22a = 28 + 16 Combine like terms: -16 + 16 = 0 0 + 22a = 28 + 16 22a = 28 + 16 Combine like terms: 28 + 16 = 44 22a = 44 Divide each side by '22'. a = 2 Simplifying a = 2
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