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Simplifying -2 = 7(a + 2) + 3(2a + -1) Reorder the terms: -2 = 7(2 + a) + 3(2a + -1) -2 = (2 * 7 + a * 7) + 3(2a + -1) -2 = (14 + 7a) + 3(2a + -1) Reorder the terms: -2 = 14 + 7a + 3(-1 + 2a) -2 = 14 + 7a + (-1 * 3 + 2a * 3) -2 = 14 + 7a + (-3 + 6a) Reorder the terms: -2 = 14 + -3 + 7a + 6a Combine like terms: 14 + -3 = 11 -2 = 11 + 7a + 6a Combine like terms: 7a + 6a = 13a -2 = 11 + 13a Solving -2 = 11 + 13a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-13a' to each side of the equation. -2 + -13a = 11 + 13a + -13a Combine like terms: 13a + -13a = 0 -2 + -13a = 11 + 0 -2 + -13a = 11 Add '2' to each side of the equation. -2 + 2 + -13a = 11 + 2 Combine like terms: -2 + 2 = 0 0 + -13a = 11 + 2 -13a = 11 + 2 Combine like terms: 11 + 2 = 13 -13a = 13 Divide each side by '-13'. a = -1 Simplifying a = -1
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