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Simplifying 8(a + 7 + 6b) = 0 Reorder the terms: 8(7 + a + 6b) = 0 (7 * 8 + a * 8 + 6b * 8) = 0 (56 + 8a + 48b) = 0 Solving 56 + 8a + 48b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-56' to each side of the equation. 56 + 8a + -56 + 48b = 0 + -56 Reorder the terms: 56 + -56 + 8a + 48b = 0 + -56 Combine like terms: 56 + -56 = 0 0 + 8a + 48b = 0 + -56 8a + 48b = 0 + -56 Combine like terms: 0 + -56 = -56 8a + 48b = -56 Add '-48b' to each side of the equation. 8a + 48b + -48b = -56 + -48b Combine like terms: 48b + -48b = 0 8a + 0 = -56 + -48b 8a = -56 + -48b Divide each side by '8'. a = -7 + -6b Simplifying a = -7 + -6b
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