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Simplifying (6a + 12b + -5) + -1(8a + -3b + 4) = 0 Reorder the terms: (-5 + 6a + 12b) + -1(8a + -3b + 4) = 0 Remove parenthesis around (-5 + 6a + 12b) -5 + 6a + 12b + -1(8a + -3b + 4) = 0 Reorder the terms: -5 + 6a + 12b + -1(4 + 8a + -3b) = 0 -5 + 6a + 12b + (4 * -1 + 8a * -1 + -3b * -1) = 0 -5 + 6a + 12b + (-4 + -8a + 3b) = 0 Reorder the terms: -5 + -4 + 6a + -8a + 12b + 3b = 0 Combine like terms: -5 + -4 = -9 -9 + 6a + -8a + 12b + 3b = 0 Combine like terms: 6a + -8a = -2a -9 + -2a + 12b + 3b = 0 Combine like terms: 12b + 3b = 15b -9 + -2a + 15b = 0 Solving -9 + -2a + 15b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '9' to each side of the equation. -9 + -2a + 9 + 15b = 0 + 9 Reorder the terms: -9 + 9 + -2a + 15b = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -2a + 15b = 0 + 9 -2a + 15b = 0 + 9 Combine like terms: 0 + 9 = 9 -2a + 15b = 9 Add '-15b' to each side of the equation. -2a + 15b + -15b = 9 + -15b Combine like terms: 15b + -15b = 0 -2a + 0 = 9 + -15b -2a = 9 + -15b Divide each side by '-2'. a = -4.5 + 7.5b Simplifying a = -4.5 + 7.5b
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