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Simplifying 2a + 8b + -2 + -10a + -6b + 9 = 0 Reorder the terms: -2 + 9 + 2a + -10a + 8b + -6b = 0 Combine like terms: -2 + 9 = 7 7 + 2a + -10a + 8b + -6b = 0 Combine like terms: 2a + -10a = -8a 7 + -8a + 8b + -6b = 0 Combine like terms: 8b + -6b = 2b 7 + -8a + 2b = 0 Solving 7 + -8a + 2b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -8a + -7 + 2b = 0 + -7 Reorder the terms: 7 + -7 + -8a + 2b = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -8a + 2b = 0 + -7 -8a + 2b = 0 + -7 Combine like terms: 0 + -7 = -7 -8a + 2b = -7 Add '-2b' to each side of the equation. -8a + 2b + -2b = -7 + -2b Combine like terms: 2b + -2b = 0 -8a + 0 = -7 + -2b -8a = -7 + -2b Divide each side by '-8'. a = 0.875 + 0.25b Simplifying a = 0.875 + 0.25b
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