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Simplifying 5(4a + -3b) + -5(2a + -1b) = 0 (4a * 5 + -3b * 5) + -5(2a + -1b) = 0 (20a + -15b) + -5(2a + -1b) = 0 20a + -15b + (2a * -5 + -1b * -5) = 0 20a + -15b + (-10a + 5b) = 0 Reorder the terms: 20a + -10a + -15b + 5b = 0 Combine like terms: 20a + -10a = 10a 10a + -15b + 5b = 0 Combine like terms: -15b + 5b = -10b 10a + -10b = 0 Solving 10a + -10b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '10b' to each side of the equation. 10a + -10b + 10b = 0 + 10b Combine like terms: -10b + 10b = 0 10a + 0 = 0 + 10b 10a = 0 + 10b Remove the zero: 10a = 10b Divide each side by '10'. a = b Simplifying a = b
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