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Simplifying 10a + -7b + 11 + 8a + -1b + -12 = 0 Reorder the terms: 11 + -12 + 10a + 8a + -7b + -1b = 0 Combine like terms: 11 + -12 = -1 -1 + 10a + 8a + -7b + -1b = 0 Combine like terms: 10a + 8a = 18a -1 + 18a + -7b + -1b = 0 Combine like terms: -7b + -1b = -8b -1 + 18a + -8b = 0 Solving -1 + 18a + -8b = 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 + 18a + 1 + -8b = 0 + 1 Reorder the terms: -1 + 1 + 18a + -8b = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 18a + -8b = 0 + 1 18a + -8b = 0 + 1 Combine like terms: 0 + 1 = 1 18a + -8b = 1 Add '8b' to each side of the equation. 18a + -8b + 8b = 1 + 8b Combine like terms: -8b + 8b = 0 18a + 0 = 1 + 8b 18a = 1 + 8b Divide each side by '18'. a = 0.05555555556 + 0.4444444444b Simplifying a = 0.05555555556 + 0.4444444444b
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