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Simplifying 8(3a + -5b + 6c + -7) = 0 Reorder the terms: 8(-7 + 3a + -5b + 6c) = 0 (-7 * 8 + 3a * 8 + -5b * 8 + 6c * 8) = 0 (-56 + 24a + -40b + 48c) = 0 Solving -56 + 24a + -40b + 48c = 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 + 24a + -40b + 56 + 48c = 0 + 56 Reorder the terms: -56 + 56 + 24a + -40b + 48c = 0 + 56 Combine like terms: -56 + 56 = 0 0 + 24a + -40b + 48c = 0 + 56 24a + -40b + 48c = 0 + 56 Combine like terms: 0 + 56 = 56 24a + -40b + 48c = 56 Add '40b' to each side of the equation. 24a + -40b + 40b + 48c = 56 + 40b Combine like terms: -40b + 40b = 0 24a + 0 + 48c = 56 + 40b 24a + 48c = 56 + 40b Add '-48c' to each side of the equation. 24a + 48c + -48c = 56 + 40b + -48c Combine like terms: 48c + -48c = 0 24a + 0 = 56 + 40b + -48c 24a = 56 + 40b + -48c Divide each side by '24'. a = 2.333333333 + 1.666666667b + -2c Simplifying a = 2.333333333 + 1.666666667b + -2c
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