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Simplifying 4(7r + 2w + -3k) = 0 Reorder the terms: 4(-3k + 7r + 2w) = 0 (-3k * 4 + 7r * 4 + 2w * 4) = 0 (-12k + 28r + 8w) = 0 Solving -12k + 28r + 8w = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-28r' to each side of the equation. -12k + 28r + -28r + 8w = 0 + -28r Combine like terms: 28r + -28r = 0 -12k + 0 + 8w = 0 + -28r -12k + 8w = 0 + -28r Remove the zero: -12k + 8w = -28r Add '-8w' to each side of the equation. -12k + 8w + -8w = -28r + -8w Combine like terms: 8w + -8w = 0 -12k + 0 = -28r + -8w -12k = -28r + -8w Divide each side by '-12'. k = 2.333333333r + 0.6666666667w Simplifying k = 2.333333333r + 0.6666666667w
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