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Simplifying 10a + 15b + 8 + -2a + -4b + 1 = 0 Reorder the terms: 8 + 1 + 10a + -2a + 15b + -4b = 0 Combine like terms: 8 + 1 = 9 9 + 10a + -2a + 15b + -4b = 0 Combine like terms: 10a + -2a = 8a 9 + 8a + 15b + -4b = 0 Combine like terms: 15b + -4b = 11b 9 + 8a + 11b = 0 Solving 9 + 8a + 11b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + 8a + -9 + 11b = 0 + -9 Reorder the terms: 9 + -9 + 8a + 11b = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 8a + 11b = 0 + -9 8a + 11b = 0 + -9 Combine like terms: 0 + -9 = -9 8a + 11b = -9 Add '-11b' to each side of the equation. 8a + 11b + -11b = -9 + -11b Combine like terms: 11b + -11b = 0 8a + 0 = -9 + -11b 8a = -9 + -11b Divide each side by '8'. a = -1.125 + -1.375b Simplifying a = -1.125 + -1.375b
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