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