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Simplifying -2(a + 3) + 4 = 3(a + 4) + 1 Reorder the terms: -2(3 + a) + 4 = 3(a + 4) + 1 (3 * -2 + a * -2) + 4 = 3(a + 4) + 1 (-6 + -2a) + 4 = 3(a + 4) + 1 Reorder the terms: -6 + 4 + -2a = 3(a + 4) + 1 Combine like terms: -6 + 4 = -2 -2 + -2a = 3(a + 4) + 1 Reorder the terms: -2 + -2a = 3(4 + a) + 1 -2 + -2a = (4 * 3 + a * 3) + 1 -2 + -2a = (12 + 3a) + 1 Reorder the terms: -2 + -2a = 12 + 1 + 3a Combine like terms: 12 + 1 = 13 -2 + -2a = 13 + 3a Solving -2 + -2a = 13 + 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 = 13 + 3a + -3a Combine like terms: -2a + -3a = -5a -2 + -5a = 13 + 3a + -3a Combine like terms: 3a + -3a = 0 -2 + -5a = 13 + 0 -2 + -5a = 13 Add '2' to each side of the equation. -2 + 2 + -5a = 13 + 2 Combine like terms: -2 + 2 = 0 0 + -5a = 13 + 2 -5a = 13 + 2 Combine like terms: 13 + 2 = 15 -5a = 15 Divide each side by '-5'. a = -3 Simplifying a = -3
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