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Simplifying 2(a + -1) = 3(a + 4) Reorder the terms: 2(-1 + a) = 3(a + 4) (-1 * 2 + a * 2) = 3(a + 4) (-2 + 2a) = 3(a + 4) Reorder the terms: -2 + 2a = 3(4 + a) -2 + 2a = (4 * 3 + a * 3) -2 + 2a = (12 + 3a) Solving -2 + 2a = 12 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. -2 + 2a + -3a = 12 + 3a + -3a Combine like terms: 2a + -3a = -1a -2 + -1a = 12 + 3a + -3a Combine like terms: 3a + -3a = 0 -2 + -1a = 12 + 0 -2 + -1a = 12 Add '2' to each side of the equation. -2 + 2 + -1a = 12 + 2 Combine like terms: -2 + 2 = 0 0 + -1a = 12 + 2 -1a = 12 + 2 Combine like terms: 12 + 2 = 14 -1a = 14 Divide each side by '-1'. a = -14 Simplifying a = -14
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