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Simplifying -5k + -42 = -10(4 + -4k) + -2 Reorder the terms: -42 + -5k = -10(4 + -4k) + -2 -42 + -5k = (4 * -10 + -4k * -10) + -2 -42 + -5k = (-40 + 40k) + -2 Reorder the terms: -42 + -5k = -40 + -2 + 40k Combine like terms: -40 + -2 = -42 -42 + -5k = -42 + 40k Add '42' to each side of the equation. -42 + 42 + -5k = -42 + 42 + 40k Combine like terms: -42 + 42 = 0 0 + -5k = -42 + 42 + 40k -5k = -42 + 42 + 40k Combine like terms: -42 + 42 = 0 -5k = 0 + 40k -5k = 40k Solving -5k = 40k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-40k' to each side of the equation. -5k + -40k = 40k + -40k Combine like terms: -5k + -40k = -45k -45k = 40k + -40k Combine like terms: 40k + -40k = 0 -45k = 0 Divide each side by '-45'. k = 0 Simplifying k = 0
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