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Simplifying -7(3a + -2b + -8) = 0 Reorder the terms: -7(-8 + 3a + -2b) = 0 (-8 * -7 + 3a * -7 + -2b * -7) = 0 (56 + -21a + 14b) = 0 Solving 56 + -21a + 14b = 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 + -21a + -56 + 14b = 0 + -56 Reorder the terms: 56 + -56 + -21a + 14b = 0 + -56 Combine like terms: 56 + -56 = 0 0 + -21a + 14b = 0 + -56 -21a + 14b = 0 + -56 Combine like terms: 0 + -56 = -56 -21a + 14b = -56 Add '-14b' to each side of the equation. -21a + 14b + -14b = -56 + -14b Combine like terms: 14b + -14b = 0 -21a + 0 = -56 + -14b -21a = -56 + -14b Divide each side by '-21'. a = 2.666666667 + 0.6666666667b Simplifying a = 2.666666667 + 0.6666666667b
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