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Simplifying 7(-1k + -3) = -7 + -5k Reorder the terms: 7(-3 + -1k) = -7 + -5k (-3 * 7 + -1k * 7) = -7 + -5k (-21 + -7k) = -7 + -5k Solving -21 + -7k = -7 + -5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '5k' to each side of the equation. -21 + -7k + 5k = -7 + -5k + 5k Combine like terms: -7k + 5k = -2k -21 + -2k = -7 + -5k + 5k Combine like terms: -5k + 5k = 0 -21 + -2k = -7 + 0 -21 + -2k = -7 Add '21' to each side of the equation. -21 + 21 + -2k = -7 + 21 Combine like terms: -21 + 21 = 0 0 + -2k = -7 + 21 -2k = -7 + 21 Combine like terms: -7 + 21 = 14 -2k = 14 Divide each side by '-2'. k = -7 Simplifying k = -7
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