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Simplifying -3(3a + -5b) + 6 + -10b = 0 (3a * -3 + -5b * -3) + 6 + -10b = 0 (-9a + 15b) + 6 + -10b = 0 Reorder the terms: 6 + -9a + 15b + -10b = 0 Combine like terms: 15b + -10b = 5b 6 + -9a + 5b = 0 Solving 6 + -9a + 5b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -9a + -6 + 5b = 0 + -6 Reorder the terms: 6 + -6 + -9a + 5b = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -9a + 5b = 0 + -6 -9a + 5b = 0 + -6 Combine like terms: 0 + -6 = -6 -9a + 5b = -6 Add '-5b' to each side of the equation. -9a + 5b + -5b = -6 + -5b Combine like terms: 5b + -5b = 0 -9a + 0 = -6 + -5b -9a = -6 + -5b Divide each side by '-9'. a = 0.6666666667 + 0.5555555556b Simplifying a = 0.6666666667 + 0.5555555556b
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