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Simplifying -14 + -7k = -5(k + 3) + -3 Reorder the terms: -14 + -7k = -5(3 + k) + -3 -14 + -7k = (3 * -5 + k * -5) + -3 -14 + -7k = (-15 + -5k) + -3 Reorder the terms: -14 + -7k = -15 + -3 + -5k Combine like terms: -15 + -3 = -18 -14 + -7k = -18 + -5k Solving -14 + -7k = -18 + -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. -14 + -7k + 5k = -18 + -5k + 5k Combine like terms: -7k + 5k = -2k -14 + -2k = -18 + -5k + 5k Combine like terms: -5k + 5k = 0 -14 + -2k = -18 + 0 -14 + -2k = -18 Add '14' to each side of the equation. -14 + 14 + -2k = -18 + 14 Combine like terms: -14 + 14 = 0 0 + -2k = -18 + 14 -2k = -18 + 14 Combine like terms: -18 + 14 = -4 -2k = -4 Divide each side by '-2'. k = 2 Simplifying k = 2
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