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Simplifying (3a + -8) + -1(-1a + 6b) = 0 Reorder the terms: (-8 + 3a) + -1(-1a + 6b) = 0 Remove parenthesis around (-8 + 3a) -8 + 3a + -1(-1a + 6b) = 0 -8 + 3a + (-1a * -1 + 6b * -1) = 0 -8 + 3a + (1a + -6b) = 0 Combine like terms: 3a + 1a = 4a -8 + 4a + -6b = 0 Solving -8 + 4a + -6b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 4a + 8 + -6b = 0 + 8 Reorder the terms: -8 + 8 + 4a + -6b = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 4a + -6b = 0 + 8 4a + -6b = 0 + 8 Combine like terms: 0 + 8 = 8 4a + -6b = 8 Add '6b' to each side of the equation. 4a + -6b + 6b = 8 + 6b Combine like terms: -6b + 6b = 0 4a + 0 = 8 + 6b 4a = 8 + 6b Divide each side by '4'. a = 2 + 1.5b Simplifying a = 2 + 1.5b
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