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Simplifying 7a + -1[(a + 3b) + -1(2a + -2b)] = 0 Remove parenthesis around (a + 3b) 7a + -1[a + 3b + -1(2a + -2b)] = 0 7a + -1[a + 3b + (2a * -1 + -2b * -1)] = 0 7a + -1[a + 3b + (-2a + 2b)] = 0 Reorder the terms: 7a + -1[a + -2a + 3b + 2b] = 0 Combine like terms: a + -2a = -1a 7a + -1[-1a + 3b + 2b] = 0 Combine like terms: 3b + 2b = 5b 7a + -1[-1a + 5b] = 0 7a + [-1a * -1 + 5b * -1] = 0 7a + [1a + -5b] = 0 Combine like terms: 7a + 1a = 8a 8a + -5b = 0 Solving 8a + -5b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '5b' to each side of the equation. 8a + -5b + 5b = 0 + 5b Combine like terms: -5b + 5b = 0 8a + 0 = 0 + 5b 8a = 0 + 5b Remove the zero: 8a = 5b Divide each side by '8'. a = 0.625b Simplifying a = 0.625b
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