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Simplifying -5(a + -1) + 2(3a + 4) = 10a + -3(2a + 5) Reorder the terms: -5(-1 + a) + 2(3a + 4) = 10a + -3(2a + 5) (-1 * -5 + a * -5) + 2(3a + 4) = 10a + -3(2a + 5) (5 + -5a) + 2(3a + 4) = 10a + -3(2a + 5) Reorder the terms: 5 + -5a + 2(4 + 3a) = 10a + -3(2a + 5) 5 + -5a + (4 * 2 + 3a * 2) = 10a + -3(2a + 5) 5 + -5a + (8 + 6a) = 10a + -3(2a + 5) Reorder the terms: 5 + 8 + -5a + 6a = 10a + -3(2a + 5) Combine like terms: 5 + 8 = 13 13 + -5a + 6a = 10a + -3(2a + 5) Combine like terms: -5a + 6a = 1a 13 + 1a = 10a + -3(2a + 5) Reorder the terms: 13 + 1a = 10a + -3(5 + 2a) 13 + 1a = 10a + (5 * -3 + 2a * -3) 13 + 1a = 10a + (-15 + -6a) Reorder the terms: 13 + 1a = -15 + 10a + -6a Combine like terms: 10a + -6a = 4a 13 + 1a = -15 + 4a Solving 13 + 1a = -15 + 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. 13 + 1a + -4a = -15 + 4a + -4a Combine like terms: 1a + -4a = -3a 13 + -3a = -15 + 4a + -4a Combine like terms: 4a + -4a = 0 13 + -3a = -15 + 0 13 + -3a = -15 Add '-13' to each side of the equation. 13 + -13 + -3a = -15 + -13 Combine like terms: 13 + -13 = 0 0 + -3a = -15 + -13 -3a = -15 + -13 Combine like terms: -15 + -13 = -28 -3a = -28 Divide each side by '-3'. a = 9.333333333 Simplifying a = 9.333333333
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