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Simplifying -6(k + 1) = 2k + 7 Reorder the terms: -6(1 + k) = 2k + 7 (1 * -6 + k * -6) = 2k + 7 (-6 + -6k) = 2k + 7 Reorder the terms: -6 + -6k = 7 + 2k Solving -6 + -6k = 7 + 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. -6 + -6k + -2k = 7 + 2k + -2k Combine like terms: -6k + -2k = -8k -6 + -8k = 7 + 2k + -2k Combine like terms: 2k + -2k = 0 -6 + -8k = 7 + 0 -6 + -8k = 7 Add '6' to each side of the equation. -6 + 6 + -8k = 7 + 6 Combine like terms: -6 + 6 = 0 0 + -8k = 7 + 6 -8k = 7 + 6 Combine like terms: 7 + 6 = 13 -8k = 13 Divide each side by '-8'. k = -1.625 Simplifying k = -1.625
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