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Simplifying 3(a + -10) + 2(a + 32) = a + 12 Reorder the terms: 3(-10 + a) + 2(a + 32) = a + 12 (-10 * 3 + a * 3) + 2(a + 32) = a + 12 (-30 + 3a) + 2(a + 32) = a + 12 Reorder the terms: -30 + 3a + 2(32 + a) = a + 12 -30 + 3a + (32 * 2 + a * 2) = a + 12 -30 + 3a + (64 + 2a) = a + 12 Reorder the terms: -30 + 64 + 3a + 2a = a + 12 Combine like terms: -30 + 64 = 34 34 + 3a + 2a = a + 12 Combine like terms: 3a + 2a = 5a 34 + 5a = a + 12 Reorder the terms: 34 + 5a = 12 + a Solving 34 + 5a = 12 + a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a' to each side of the equation. 34 + 5a + -1a = 12 + a + -1a Combine like terms: 5a + -1a = 4a 34 + 4a = 12 + a + -1a Combine like terms: a + -1a = 0 34 + 4a = 12 + 0 34 + 4a = 12 Add '-34' to each side of the equation. 34 + -34 + 4a = 12 + -34 Combine like terms: 34 + -34 = 0 0 + 4a = 12 + -34 4a = 12 + -34 Combine like terms: 12 + -34 = -22 4a = -22 Divide each side by '4'. a = -5.5 Simplifying a = -5.5
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