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Simplifying 3a + -6(a + -3) + 5(b + -3) = 0 Reorder the terms: 3a + -6(-3 + a) + 5(b + -3) = 0 3a + (-3 * -6 + a * -6) + 5(b + -3) = 0 3a + (18 + -6a) + 5(b + -3) = 0 Reorder the terms: 3a + 18 + -6a + 5(-3 + b) = 0 3a + 18 + -6a + (-3 * 5 + b * 5) = 0 3a + 18 + -6a + (-15 + 5b) = 0 Reorder the terms: 18 + -15 + 3a + -6a + 5b = 0 Combine like terms: 18 + -15 = 3 3 + 3a + -6a + 5b = 0 Combine like terms: 3a + -6a = -3a 3 + -3a + 5b = 0 Solving 3 + -3a + 5b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3a + -3 + 5b = 0 + -3 Reorder the terms: 3 + -3 + -3a + 5b = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -3a + 5b = 0 + -3 -3a + 5b = 0 + -3 Combine like terms: 0 + -3 = -3 -3a + 5b = -3 Add '-5b' to each side of the equation. -3a + 5b + -5b = -3 + -5b Combine like terms: 5b + -5b = 0 -3a + 0 = -3 + -5b -3a = -3 + -5b Divide each side by '-3'. a = 1 + 1.666666667b Simplifying a = 1 + 1.666666667b
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