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Simplifying 4(-5k + 8w) + -1 + 6k + w = 0 (-5k * 4 + 8w * 4) + -1 + 6k + w = 0 (-20k + 32w) + -1 + 6k + w = 0 Reorder the terms: -1 + -20k + 6k + 32w + w = 0 Combine like terms: -20k + 6k = -14k -1 + -14k + 32w + w = 0 Combine like terms: 32w + w = 33w -1 + -14k + 33w = 0 Solving -1 + -14k + 33w = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '1' to each side of the equation. -1 + -14k + 1 + 33w = 0 + 1 Reorder the terms: -1 + 1 + -14k + 33w = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -14k + 33w = 0 + 1 -14k + 33w = 0 + 1 Combine like terms: 0 + 1 = 1 -14k + 33w = 1 Add '-33w' to each side of the equation. -14k + 33w + -33w = 1 + -33w Combine like terms: 33w + -33w = 0 -14k + 0 = 1 + -33w -14k = 1 + -33w Divide each side by '-14'. k = -0.07142857143 + 2.357142857w Simplifying k = -0.07142857143 + 2.357142857w
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