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Simplifying -21 + -8k = -6(7 + k) + 7 -21 + -8k = (7 * -6 + k * -6) + 7 -21 + -8k = (-42 + -6k) + 7 Reorder the terms: -21 + -8k = -42 + 7 + -6k Combine like terms: -42 + 7 = -35 -21 + -8k = -35 + -6k Solving -21 + -8k = -35 + -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. -21 + -8k + 6k = -35 + -6k + 6k Combine like terms: -8k + 6k = -2k -21 + -2k = -35 + -6k + 6k Combine like terms: -6k + 6k = 0 -21 + -2k = -35 + 0 -21 + -2k = -35 Add '21' to each side of the equation. -21 + 21 + -2k = -35 + 21 Combine like terms: -21 + 21 = 0 0 + -2k = -35 + 21 -2k = -35 + 21 Combine like terms: -35 + 21 = -14 -2k = -14 Divide each side by '-2'. k = 7 Simplifying k = 7
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