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Simplifying (3a + 8b) + -1(4a + 5b) = 0 Remove parenthesis around (3a + 8b) 3a + 8b + -1(4a + 5b) = 0 3a + 8b + (4a * -1 + 5b * -1) = 0 3a + 8b + (-4a + -5b) = 0 Reorder the terms: 3a + -4a + 8b + -5b = 0 Combine like terms: 3a + -4a = -1a -1a + 8b + -5b = 0 Combine like terms: 8b + -5b = 3b -1a + 3b = 0 Solving -1a + 3b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3b' to each side of the equation. -1a + 3b + -3b = 0 + -3b Combine like terms: 3b + -3b = 0 -1a + 0 = 0 + -3b -1a = 0 + -3b Remove the zero: -1a = -3b Divide each side by '-1'. a = 3b Simplifying a = 3b
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