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Simplifying 2km + m = 10km Solving 2km + m = 10km Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-10km' to each side of the equation. 2km + -10km + m = 10km + -10km Combine like terms: 2km + -10km = -8km -8km + m = 10km + -10km Combine like terms: 10km + -10km = 0 -8km + m = 0 Add '-1m' to each side of the equation. -8km + m + -1m = 0 + -1m Combine like terms: m + -1m = 0 -8km + 0 = 0 + -1m -8km = 0 + -1m Remove the zero: -8km = -1m Divide each side by '-8m'. k = 0.125 Simplifying k = 0.125
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