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Simplifying 8(k + -5) = 2k + 2 Reorder the terms: 8(-5 + k) = 2k + 2 (-5 * 8 + k * 8) = 2k + 2 (-40 + 8k) = 2k + 2 Reorder the terms: -40 + 8k = 2 + 2k Solving -40 + 8k = 2 + 2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2k' to each side of the equation. -40 + 8k + -2k = 2 + 2k + -2k Combine like terms: 8k + -2k = 6k -40 + 6k = 2 + 2k + -2k Combine like terms: 2k + -2k = 0 -40 + 6k = 2 + 0 -40 + 6k = 2 Add '40' to each side of the equation. -40 + 40 + 6k = 2 + 40 Combine like terms: -40 + 40 = 0 0 + 6k = 2 + 40 6k = 2 + 40 Combine like terms: 2 + 40 = 42 6k = 42 Divide each side by '6'. k = 7 Simplifying k = 7
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