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