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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 = -1 -1 + 3a = 13 + -1(a + 2) Reorder the terms: -1 + 3a = 13 + -1(2 + a) -1 + 3a = 13 + (2 * -1 + a * -1) -1 + 3a = 13 + (-2 + -1a) Combine like terms: 13 + -2 = 11 -1 + 3a = 11 + -1a Solving -1 + 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. -1 + 3a + a = 11 + -1a + a Combine like terms: 3a + a = 4a -1 + 4a = 11 + -1a + a Combine like terms: -1a + a = 0 -1 + 4a = 11 + 0 -1 + 4a = 11 Add '1' to each side of the equation. -1 + 1 + 4a = 11 + 1 Combine like terms: -1 + 1 = 0 0 + 4a = 11 + 1 4a = 11 + 1 Combine like terms: 11 + 1 = 12 4a = 12 Divide each side by '4'. a = 3 Simplifying a = 3
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