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Simplifying 7(a + -1b) = -3 + 6a (a * 7 + -1b * 7) = -3 + 6a (7a + -7b) = -3 + 6a Solving 7a + -7b = -3 + 6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6a' to each side of the equation. 7a + -6a + -7b = -3 + 6a + -6a Combine like terms: 7a + -6a = 1a 1a + -7b = -3 + 6a + -6a Combine like terms: 6a + -6a = 0 1a + -7b = -3 + 0 1a + -7b = -3 Add '7b' to each side of the equation. 1a + -7b + 7b = -3 + 7b Combine like terms: -7b + 7b = 0 1a + 0 = -3 + 7b 1a = -3 + 7b Divide each side by '1'. a = -3 + 7b Simplifying a = -3 + 7b
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