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Simplifying 3(a + 2) + 7 = 13 + -1(a + 2) Reorder the terms: 3(2 + a) + 7 = 13 + -1(a + 2) (2 * 3 + a * 3) + 7 = 13 + -1(a + 2) (6 + 3a) + 7 = 13 + -1(a + 2) Reorder the terms: 6 + 7 + 3a = 13 + -1(a + 2) Combine like terms: 6 + 7 = 13 13 + 3a = 13 + -1(a + 2) Reorder the terms: 13 + 3a = 13 + -1(2 + a) 13 + 3a = 13 + (2 * -1 + a * -1) 13 + 3a = 13 + (-2 + -1a) Combine like terms: 13 + -2 = 11 13 + 3a = 11 + -1a Solving 13 + 3a = 11 + -1a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'a' to each side of the equation. 13 + 3a + a = 11 + -1a + a Combine like terms: 3a + a = 4a 13 + 4a = 11 + -1a + a Combine like terms: -1a + a = 0 13 + 4a = 11 + 0 13 + 4a = 11 Add '-13' to each side of the equation. 13 + -13 + 4a = 11 + -13 Combine like terms: 13 + -13 = 0 0 + 4a = 11 + -13 4a = 11 + -13 Combine like terms: 11 + -13 = -2 4a = -2 Divide each side by '4'. a = -0.5 Simplifying a = -0.5
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