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Simplifying 7(a + -2) = 2(2a + -1) Reorder the terms: 7(-2 + a) = 2(2a + -1) (-2 * 7 + a * 7) = 2(2a + -1) (-14 + 7a) = 2(2a + -1) Reorder the terms: -14 + 7a = 2(-1 + 2a) -14 + 7a = (-1 * 2 + 2a * 2) -14 + 7a = (-2 + 4a) Solving -14 + 7a = -2 + 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 + 7a + -4a = -2 + 4a + -4a Combine like terms: 7a + -4a = 3a -14 + 3a = -2 + 4a + -4a Combine like terms: 4a + -4a = 0 -14 + 3a = -2 + 0 -14 + 3a = -2 Add '14' to each side of the equation. -14 + 14 + 3a = -2 + 14 Combine like terms: -14 + 14 = 0 0 + 3a = -2 + 14 3a = -2 + 14 Combine like terms: -2 + 14 = 12 3a = 12 Divide each side by '3'. a = 4 Simplifying a = 4
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