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Simplifying (3a + 8b + -8) + (-13a + -9b + 3) = 0 Reorder the terms: (-8 + 3a + 8b) + (-13a + -9b + 3) = 0 Remove parenthesis around (-8 + 3a + 8b) -8 + 3a + 8b + (-13a + -9b + 3) = 0 Reorder the terms: -8 + 3a + 8b + (3 + -13a + -9b) = 0 Remove parenthesis around (3 + -13a + -9b) -8 + 3a + 8b + 3 + -13a + -9b = 0 Reorder the terms: -8 + 3 + 3a + -13a + 8b + -9b = 0 Combine like terms: -8 + 3 = -5 -5 + 3a + -13a + 8b + -9b = 0 Combine like terms: 3a + -13a = -10a -5 + -10a + 8b + -9b = 0 Combine like terms: 8b + -9b = -1b -5 + -10a + -1b = 0 Solving -5 + -10a + -1b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '5' to each side of the equation. -5 + -10a + 5 + -1b = 0 + 5 Reorder the terms: -5 + 5 + -10a + -1b = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -10a + -1b = 0 + 5 -10a + -1b = 0 + 5 Combine like terms: 0 + 5 = 5 -10a + -1b = 5 Add 'b' to each side of the equation. -10a + -1b + b = 5 + b Combine like terms: -1b + b = 0 -10a + 0 = 5 + b -10a = 5 + b Divide each side by '-10'. a = -0.5 + -0.1b Simplifying a = -0.5 + -0.1b
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