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Simplifying 4k + -10 = 6k + 40 Reorder the terms: -10 + 4k = 6k + 40 Reorder the terms: -10 + 4k = 40 + 6k Solving -10 + 4k = 40 + 6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-6k' to each side of the equation. -10 + 4k + -6k = 40 + 6k + -6k Combine like terms: 4k + -6k = -2k -10 + -2k = 40 + 6k + -6k Combine like terms: 6k + -6k = 0 -10 + -2k = 40 + 0 -10 + -2k = 40 Add '10' to each side of the equation. -10 + 10 + -2k = 40 + 10 Combine like terms: -10 + 10 = 0 0 + -2k = 40 + 10 -2k = 40 + 10 Combine like terms: 40 + 10 = 50 -2k = 50 Divide each side by '-2'. k = -25 Simplifying k = -25
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