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Simplifying 6a + 2b + (0) * c + 3d + (0) * e + (0) * f = 100 Anything times zero is zero. 6a + 2b + 0c + 3d + (0) * e + (0) * f = 100 Anything times zero is zero. 6a + 2b + 0 + 3d + 0e + (0) * f = 100 Anything times zero is zero. 6a + 2b + 0 + 3d + 0 + 0f = 100 Reorder the terms: 0 + 0 + 0 + 6a + 2b + 3d = 100 Combine like terms: 0 + 0 = 0 0 + 0 + 6a + 2b + 3d = 100 0 + 6a + 2b + 3d = 100 Remove the zero: 6a + 2b + 3d = 100 Solving 6a + 2b + 3d = 100 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2b' to each side of the equation. 6a + 2b + -2b + 3d = 100 + -2b Combine like terms: 2b + -2b = 0 6a + 0 + 3d = 100 + -2b 6a + 3d = 100 + -2b Add '-3d' to each side of the equation. 6a + 3d + -3d = 100 + -2b + -3d Combine like terms: 3d + -3d = 0 6a + 0 = 100 + -2b + -3d 6a = 100 + -2b + -3d Divide each side by '6'. a = 16.66666667 + -0.3333333333b + -0.5d Simplifying a = 16.66666667 + -0.3333333333b + -0.5d
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