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Simplifying 10(3a + -5) + 8 = 9(4a + 3) + -5a Reorder the terms: 10(-5 + 3a) + 8 = 9(4a + 3) + -5a (-5 * 10 + 3a * 10) + 8 = 9(4a + 3) + -5a (-50 + 30a) + 8 = 9(4a + 3) + -5a Reorder the terms: -50 + 8 + 30a = 9(4a + 3) + -5a Combine like terms: -50 + 8 = -42 -42 + 30a = 9(4a + 3) + -5a Reorder the terms: -42 + 30a = 9(3 + 4a) + -5a -42 + 30a = (3 * 9 + 4a * 9) + -5a -42 + 30a = (27 + 36a) + -5a Combine like terms: 36a + -5a = 31a -42 + 30a = 27 + 31a Solving -42 + 30a = 27 + 31a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-31a' to each side of the equation. -42 + 30a + -31a = 27 + 31a + -31a Combine like terms: 30a + -31a = -1a -42 + -1a = 27 + 31a + -31a Combine like terms: 31a + -31a = 0 -42 + -1a = 27 + 0 -42 + -1a = 27 Add '42' to each side of the equation. -42 + 42 + -1a = 27 + 42 Combine like terms: -42 + 42 = 0 0 + -1a = 27 + 42 -1a = 27 + 42 Combine like terms: 27 + 42 = 69 -1a = 69 Divide each side by '-1'. a = -69 Simplifying a = -69
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