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Simplifying 3a + 5b + -6a + 7 = 0 Reorder the terms: 7 + 3a + -6a + 5b = 0 Combine like terms: 3a + -6a = -3a 7 + -3a + 5b = 0 Solving 7 + -3a + 5b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -3a + -7 + 5b = 0 + -7 Reorder the terms: 7 + -7 + -3a + 5b = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -3a + 5b = 0 + -7 -3a + 5b = 0 + -7 Combine like terms: 0 + -7 = -7 -3a + 5b = -7 Add '-5b' to each side of the equation. -3a + 5b + -5b = -7 + -5b Combine like terms: 5b + -5b = 0 -3a + 0 = -7 + -5b -3a = -7 + -5b Divide each side by '-3'. a = 2.333333333 + 1.666666667b Simplifying a = 2.333333333 + 1.666666667b
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