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Simplifying (10a + 7b) + -1(2a + 3b) = 0 Remove parenthesis around (10a + 7b) 10a + 7b + -1(2a + 3b) = 0 10a + 7b + (2a * -1 + 3b * -1) = 0 10a + 7b + (-2a + -3b) = 0 Reorder the terms: 10a + -2a + 7b + -3b = 0 Combine like terms: 10a + -2a = 8a 8a + 7b + -3b = 0 Combine like terms: 7b + -3b = 4b 8a + 4b = 0 Solving 8a + 4b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4b' to each side of the equation. 8a + 4b + -4b = 0 + -4b Combine like terms: 4b + -4b = 0 8a + 0 = 0 + -4b 8a = 0 + -4b Remove the zero: 8a = -4b Divide each side by '8'. a = -0.5b Simplifying a = -0.5b
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