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Simplifying -4k + -40 = -6(k + 5) Reorder the terms: -40 + -4k = -6(k + 5) Reorder the terms: -40 + -4k = -6(5 + k) -40 + -4k = (5 * -6 + k * -6) -40 + -4k = (-30 + -6k) Solving -40 + -4k = -30 + -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. -40 + -4k + 6k = -30 + -6k + 6k Combine like terms: -4k + 6k = 2k -40 + 2k = -30 + -6k + 6k Combine like terms: -6k + 6k = 0 -40 + 2k = -30 + 0 -40 + 2k = -30 Add '40' to each side of the equation. -40 + 40 + 2k = -30 + 40 Combine like terms: -40 + 40 = 0 0 + 2k = -30 + 40 2k = -30 + 40 Combine like terms: -30 + 40 = 10 2k = 10 Divide each side by '2'. k = 5 Simplifying k = 5
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