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Simplifying 3(a + -2) + 2(a + 23) = a + 10 Reorder the terms: 3(-2 + a) + 2(a + 23) = a + 10 (-2 * 3 + a * 3) + 2(a + 23) = a + 10 (-6 + 3a) + 2(a + 23) = a + 10 Reorder the terms: -6 + 3a + 2(23 + a) = a + 10 -6 + 3a + (23 * 2 + a * 2) = a + 10 -6 + 3a + (46 + 2a) = a + 10 Reorder the terms: -6 + 46 + 3a + 2a = a + 10 Combine like terms: -6 + 46 = 40 40 + 3a + 2a = a + 10 Combine like terms: 3a + 2a = 5a 40 + 5a = a + 10 Reorder the terms: 40 + 5a = 10 + a Solving 40 + 5a = 10 + 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. 40 + 5a + -1a = 10 + a + -1a Combine like terms: 5a + -1a = 4a 40 + 4a = 10 + a + -1a Combine like terms: a + -1a = 0 40 + 4a = 10 + 0 40 + 4a = 10 Add '-40' to each side of the equation. 40 + -40 + 4a = 10 + -40 Combine like terms: 40 + -40 = 0 0 + 4a = 10 + -40 4a = 10 + -40 Combine like terms: 10 + -40 = -30 4a = -30 Divide each side by '4'. a = -7.5 Simplifying a = -7.5
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