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Simplifying 3a + -4b + -1(-7b) + 5a = 0 Remove parenthesis around (-7b) 3a + -4b + -1 * -7b + 5a = 0 Multiply -1 * -7 3a + -4b + 7b + 5a = 0 Reorder the terms: 3a + 5a + -4b + 7b = 0 Combine like terms: 3a + 5a = 8a 8a + -4b + 7b = 0 Combine like terms: -4b + 7b = 3b 8a + 3b = 0 Solving 8a + 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. 8a + 3b + -3b = 0 + -3b Combine like terms: 3b + -3b = 0 8a + 0 = 0 + -3b 8a = 0 + -3b Remove the zero: 8a = -3b Divide each side by '8'. a = -0.375b Simplifying a = -0.375b
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