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Simplifying 12 + -3(2a + 1) = 7a + -3(7 + a) Reorder the terms: 12 + -3(1 + 2a) = 7a + -3(7 + a) 12 + (1 * -3 + 2a * -3) = 7a + -3(7 + a) 12 + (-3 + -6a) = 7a + -3(7 + a) Combine like terms: 12 + -3 = 9 9 + -6a = 7a + -3(7 + a) 9 + -6a = 7a + (7 * -3 + a * -3) 9 + -6a = 7a + (-21 + -3a) Reorder the terms: 9 + -6a = -21 + 7a + -3a Combine like terms: 7a + -3a = 4a 9 + -6a = -21 + 4a Solving 9 + -6a = -21 + 4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a' to each side of the equation. 9 + -6a + -4a = -21 + 4a + -4a Combine like terms: -6a + -4a = -10a 9 + -10a = -21 + 4a + -4a Combine like terms: 4a + -4a = 0 9 + -10a = -21 + 0 9 + -10a = -21 Add '-9' to each side of the equation. 9 + -9 + -10a = -21 + -9 Combine like terms: 9 + -9 = 0 0 + -10a = -21 + -9 -10a = -21 + -9 Combine like terms: -21 + -9 = -30 -10a = -30 Divide each side by '-10'. a = 3 Simplifying a = 3
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