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Simplifying 3(a + 7) = 2[a + -1(8 + -3)] Reorder the terms: 3(7 + a) = 2[a + -1(8 + -3)] (7 * 3 + a * 3) = 2[a + -1(8 + -3)] (21 + 3a) = 2[a + -1(8 + -3)] Combine like terms: 8 + -3 = 5 21 + 3a = 2[a + -1(5)] Multiply -1 * 5 21 + 3a = 2[a + -5] Reorder the terms: 21 + 3a = 2[-5 + a] 21 + 3a = [-5 * 2 + a * 2] 21 + 3a = [-10 + 2a] Solving 21 + 3a = -10 + 2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. 21 + 3a + -2a = -10 + 2a + -2a Combine like terms: 3a + -2a = 1a 21 + 1a = -10 + 2a + -2a Combine like terms: 2a + -2a = 0 21 + 1a = -10 + 0 21 + 1a = -10 Add '-21' to each side of the equation. 21 + -21 + 1a = -10 + -21 Combine like terms: 21 + -21 = 0 0 + 1a = -10 + -21 1a = -10 + -21 Combine like terms: -10 + -21 = -31 1a = -31 Divide each side by '1'. a = -31 Simplifying a = -31
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