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Simplifying 18a + 6b + 4c + 24d = 106 Solving 18a + 6b + 4c + 24d = 106 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6b' to each side of the equation. 18a + 6b + 4c + -6b + 24d = 106 + -6b Reorder the terms: 18a + 6b + -6b + 4c + 24d = 106 + -6b Combine like terms: 6b + -6b = 0 18a + 0 + 4c + 24d = 106 + -6b 18a + 4c + 24d = 106 + -6b Add '-4c' to each side of the equation. 18a + 4c + -4c + 24d = 106 + -6b + -4c Combine like terms: 4c + -4c = 0 18a + 0 + 24d = 106 + -6b + -4c 18a + 24d = 106 + -6b + -4c Add '-24d' to each side of the equation. 18a + 24d + -24d = 106 + -6b + -4c + -24d Combine like terms: 24d + -24d = 0 18a + 0 = 106 + -6b + -4c + -24d 18a = 106 + -6b + -4c + -24d Divide each side by '18'. a = 5.888888889 + -0.3333333333b + -0.2222222222c + -1.333333333d Simplifying a = 5.888888889 + -0.3333333333b + -0.2222222222c + -1.333333333d
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