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Simplifying (8a + 3b + -9) + (-17a + -2b + 8) = 0 Reorder the terms: (-9 + 8a + 3b) + (-17a + -2b + 8) = 0 Remove parenthesis around (-9 + 8a + 3b) -9 + 8a + 3b + (-17a + -2b + 8) = 0 Reorder the terms: -9 + 8a + 3b + (8 + -17a + -2b) = 0 Remove parenthesis around (8 + -17a + -2b) -9 + 8a + 3b + 8 + -17a + -2b = 0 Reorder the terms: -9 + 8 + 8a + -17a + 3b + -2b = 0 Combine like terms: -9 + 8 = -1 -1 + 8a + -17a + 3b + -2b = 0 Combine like terms: 8a + -17a = -9a -1 + -9a + 3b + -2b = 0 Combine like terms: 3b + -2b = 1b -1 + -9a + 1b = 0 Solving -1 + -9a + 1b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '1' to each side of the equation. -1 + -9a + 1 + 1b = 0 + 1 Reorder the terms: -1 + 1 + -9a + 1b = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -9a + 1b = 0 + 1 -9a + 1b = 0 + 1 Combine like terms: 0 + 1 = 1 -9a + 1b = 1 Add '-1b' to each side of the equation. -9a + 1b + -1b = 1 + -1b Combine like terms: 1b + -1b = 0 -9a + 0 = 1 + -1b -9a = 1 + -1b Divide each side by '-9'. a = -0.1111111111 + 0.1111111111b Simplifying a = -0.1111111111 + 0.1111111111b
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