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Simplifying -46k + -19(k + -8) + -1(4 + -2k) = 0 Reorder the terms: -46k + -19(-8 + k) + -1(4 + -2k) = 0 -46k + (-8 * -19 + k * -19) + -1(4 + -2k) = 0 -46k + (152 + -19k) + -1(4 + -2k) = 0 -46k + 152 + -19k + (4 * -1 + -2k * -1) = 0 -46k + 152 + -19k + (-4 + 2k) = 0 Reorder the terms: 152 + -4 + -46k + -19k + 2k = 0 Combine like terms: 152 + -4 = 148 148 + -46k + -19k + 2k = 0 Combine like terms: -46k + -19k = -65k 148 + -65k + 2k = 0 Combine like terms: -65k + 2k = -63k 148 + -63k = 0 Solving 148 + -63k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-148' to each side of the equation. 148 + -148 + -63k = 0 + -148 Combine like terms: 148 + -148 = 0 0 + -63k = 0 + -148 -63k = 0 + -148 Combine like terms: 0 + -148 = -148 -63k = -148 Divide each side by '-63'. k = 2.349206349 Simplifying k = 2.349206349
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