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Simplifying 5a + -5 + 4a + 8 = 10a + 40 Reorder the terms: -5 + 8 + 5a + 4a = 10a + 40 Combine like terms: -5 + 8 = 3 3 + 5a + 4a = 10a + 40 Combine like terms: 5a + 4a = 9a 3 + 9a = 10a + 40 Reorder the terms: 3 + 9a = 40 + 10a Solving 3 + 9a = 40 + 10a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-10a' to each side of the equation. 3 + 9a + -10a = 40 + 10a + -10a Combine like terms: 9a + -10a = -1a 3 + -1a = 40 + 10a + -10a Combine like terms: 10a + -10a = 0 3 + -1a = 40 + 0 3 + -1a = 40 Add '-3' to each side of the equation. 3 + -3 + -1a = 40 + -3 Combine like terms: 3 + -3 = 0 0 + -1a = 40 + -3 -1a = 40 + -3 Combine like terms: 40 + -3 = 37 -1a = 37 Divide each side by '-1'. a = -37 Simplifying a = -37
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