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Simplifying (3a + 2b + -5) + -3(6a + b + -1) = 0 Reorder the terms: (-5 + 3a + 2b) + -3(6a + b + -1) = 0 Remove parenthesis around (-5 + 3a + 2b) -5 + 3a + 2b + -3(6a + b + -1) = 0 Reorder the terms: -5 + 3a + 2b + -3(-1 + 6a + b) = 0 -5 + 3a + 2b + (-1 * -3 + 6a * -3 + b * -3) = 0 -5 + 3a + 2b + (3 + -18a + -3b) = 0 Reorder the terms: -5 + 3 + 3a + -18a + 2b + -3b = 0 Combine like terms: -5 + 3 = -2 -2 + 3a + -18a + 2b + -3b = 0 Combine like terms: 3a + -18a = -15a -2 + -15a + 2b + -3b = 0 Combine like terms: 2b + -3b = -1b -2 + -15a + -1b = 0 Solving -2 + -15a + -1b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '2' to each side of the equation. -2 + -15a + 2 + -1b = 0 + 2 Reorder the terms: -2 + 2 + -15a + -1b = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -15a + -1b = 0 + 2 -15a + -1b = 0 + 2 Combine like terms: 0 + 2 = 2 -15a + -1b = 2 Add 'b' to each side of the equation. -15a + -1b + b = 2 + b Combine like terms: -1b + b = 0 -15a + 0 = 2 + b -15a = 2 + b Divide each side by '-15'. a = -0.1333333333 + -0.06666666667b Simplifying a = -0.1333333333 + -0.06666666667b
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