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Simplifying 8a + -6(a + -8) + 3(b + -8) = 0 Reorder the terms: 8a + -6(-8 + a) + 3(b + -8) = 0 8a + (-8 * -6 + a * -6) + 3(b + -8) = 0 8a + (48 + -6a) + 3(b + -8) = 0 Reorder the terms: 8a + 48 + -6a + 3(-8 + b) = 0 8a + 48 + -6a + (-8 * 3 + b * 3) = 0 8a + 48 + -6a + (-24 + 3b) = 0 Reorder the terms: 48 + -24 + 8a + -6a + 3b = 0 Combine like terms: 48 + -24 = 24 24 + 8a + -6a + 3b = 0 Combine like terms: 8a + -6a = 2a 24 + 2a + 3b = 0 Solving 24 + 2a + 3b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + 2a + -24 + 3b = 0 + -24 Reorder the terms: 24 + -24 + 2a + 3b = 0 + -24 Combine like terms: 24 + -24 = 0 0 + 2a + 3b = 0 + -24 2a + 3b = 0 + -24 Combine like terms: 0 + -24 = -24 2a + 3b = -24 Add '-3b' to each side of the equation. 2a + 3b + -3b = -24 + -3b Combine like terms: 3b + -3b = 0 2a + 0 = -24 + -3b 2a = -24 + -3b Divide each side by '2'. a = -12 + -1.5b Simplifying a = -12 + -1.5b
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