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Simplifying 6a + 0b + 0c + 2d = 100 Anything times zero is zero. 6a + 0b + 0c + 2d = 100 Anything times zero is zero. 6a + 0 + 0c + 2d = 100 Reorder the terms: 0 + 0 + 6a + 2d = 100 Combine like terms: 0 + 0 = 0 0 + 6a + 2d = 100 6a + 2d = 100 Solving 6a + 2d = 100 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2d' to each side of the equation. 6a + 2d + -2d = 100 + -2d Combine like terms: 2d + -2d = 0 6a + 0 = 100 + -2d 6a = 100 + -2d Divide each side by '6'. a = 16.66666667 + -0.3333333333d Simplifying a = 16.66666667 + -0.3333333333d
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