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Simplifying 7a + b + 0c + 3d = 100 Anything times zero is zero. 7a + b + 0c + 3d = 100 Reorder the terms: 0 + 7a + b + 3d = 100 Remove the zero: 7a + b + 3d = 100 Solving 7a + b + 3d = 100 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1b' to each side of the equation. 7a + b + -1b + 3d = 100 + -1b Combine like terms: b + -1b = 0 7a + 0 + 3d = 100 + -1b 7a + 3d = 100 + -1b Add '-3d' to each side of the equation. 7a + 3d + -3d = 100 + -1b + -3d Combine like terms: 3d + -3d = 0 7a + 0 = 100 + -1b + -3d 7a = 100 + -1b + -3d Divide each side by '7'. a = 14.28571429 + -0.1428571429b + -0.4285714286d Simplifying a = 14.28571429 + -0.1428571429b + -0.4285714286d
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