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Simplifying a + -2b + 3c + -1a + -2b + -3c + d = 0 Reorder the terms: a + -1a + -2b + -2b + 3c + -3c + d = 0 Combine like terms: a + -1a = 0 0 + -2b + -2b + 3c + -3c + d = 0 -2b + -2b + 3c + -3c + d = 0 Combine like terms: -2b + -2b = -4b -4b + 3c + -3c + d = 0 Combine like terms: 3c + -3c = 0 -4b + 0 + d = 0 -4b + d = 0 Solving -4b + d = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-1d' to each side of the equation. -4b + d + -1d = 0 + -1d Combine like terms: d + -1d = 0 -4b + 0 = 0 + -1d -4b = 0 + -1d Remove the zero: -4b = -1d Divide each side by '-4'. b = 0.25d Simplifying b = 0.25d
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