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Simplifying 8(a + b) + -3b + 12 = 0 (a * 8 + b * 8) + -3b + 12 = 0 (8a + 8b) + -3b + 12 = 0 Reorder the terms: 12 + 8a + 8b + -3b = 0 Combine like terms: 8b + -3b = 5b 12 + 8a + 5b = 0 Solving 12 + 8a + 5b = 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 + 8a + -12 + 5b = 0 + -12 Reorder the terms: 12 + -12 + 8a + 5b = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 8a + 5b = 0 + -12 8a + 5b = 0 + -12 Combine like terms: 0 + -12 = -12 8a + 5b = -12 Add '-5b' to each side of the equation. 8a + 5b + -5b = -12 + -5b Combine like terms: 5b + -5b = 0 8a + 0 = -12 + -5b 8a = -12 + -5b Divide each side by '8'. a = -1.5 + -0.625b Simplifying a = -1.5 + -0.625b
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