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Simplifying (5a + 6b + 8) + -2(b + -2) = 0 Reorder the terms: (8 + 5a + 6b) + -2(b + -2) = 0 Remove parenthesis around (8 + 5a + 6b) 8 + 5a + 6b + -2(b + -2) = 0 Reorder the terms: 8 + 5a + 6b + -2(-2 + b) = 0 8 + 5a + 6b + (-2 * -2 + b * -2) = 0 8 + 5a + 6b + (4 + -2b) = 0 Reorder the terms: 8 + 4 + 5a + 6b + -2b = 0 Combine like terms: 8 + 4 = 12 12 + 5a + 6b + -2b = 0 Combine like terms: 6b + -2b = 4b 12 + 5a + 4b = 0 Solving 12 + 5a + 4b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + 5a + -12 + 4b = 0 + -12 Reorder the terms: 12 + -12 + 5a + 4b = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 5a + 4b = 0 + -12 5a + 4b = 0 + -12 Combine like terms: 0 + -12 = -12 5a + 4b = -12 Add '-4b' to each side of the equation. 5a + 4b + -4b = -12 + -4b Combine like terms: 4b + -4b = 0 5a + 0 = -12 + -4b 5a = -12 + -4b Divide each side by '5'. a = -2.4 + -0.8b Simplifying a = -2.4 + -0.8b
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