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Simplifying 5a + -6b + 8 + -1(-3a + -2b + -5) = 0 Reorder the terms: 5a + -6b + 8 + -1(-5 + -3a + -2b) = 0 5a + -6b + 8 + (-5 * -1 + -3a * -1 + -2b * -1) = 0 5a + -6b + 8 + (5 + 3a + 2b) = 0 Reorder the terms: 8 + 5 + 5a + 3a + -6b + 2b = 0 Combine like terms: 8 + 5 = 13 13 + 5a + 3a + -6b + 2b = 0 Combine like terms: 5a + 3a = 8a 13 + 8a + -6b + 2b = 0 Combine like terms: -6b + 2b = -4b 13 + 8a + -4b = 0 Solving 13 + 8a + -4b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + 8a + -13 + -4b = 0 + -13 Reorder the terms: 13 + -13 + 8a + -4b = 0 + -13 Combine like terms: 13 + -13 = 0 0 + 8a + -4b = 0 + -13 8a + -4b = 0 + -13 Combine like terms: 0 + -13 = -13 8a + -4b = -13 Add '4b' to each side of the equation. 8a + -4b + 4b = -13 + 4b Combine like terms: -4b + 4b = 0 8a + 0 = -13 + 4b 8a = -13 + 4b Divide each side by '8'. a = -1.625 + 0.5b Simplifying a = -1.625 + 0.5b
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