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Simplifying (3a + -3b) + -1(b + c) = 0 Remove parenthesis around (3a + -3b) 3a + -3b + -1(b + c) = 0 3a + -3b + (b * -1 + c * -1) = 0 3a + -3b + (-1b + -1c) = 0 Combine like terms: -3b + -1b = -4b 3a + -4b + -1c = 0 Solving 3a + -4b + -1c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '4b' to each side of the equation. 3a + -4b + 4b + -1c = 0 + 4b Combine like terms: -4b + 4b = 0 3a + 0 + -1c = 0 + 4b 3a + -1c = 0 + 4b Remove the zero: 3a + -1c = 4b Add 'c' to each side of the equation. 3a + -1c + c = 4b + c Combine like terms: -1c + c = 0 3a + 0 = 4b + c 3a = 4b + c Divide each side by '3'. a = 1.333333333b + 0.3333333333c Simplifying a = 1.333333333b + 0.3333333333c
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