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Simplifying 2(k + -7) = 3(k + 10) + -4(2k + 80) Reorder the terms: 2(-7 + k) = 3(k + 10) + -4(2k + 80) (-7 * 2 + k * 2) = 3(k + 10) + -4(2k + 80) (-14 + 2k) = 3(k + 10) + -4(2k + 80) Reorder the terms: -14 + 2k = 3(10 + k) + -4(2k + 80) -14 + 2k = (10 * 3 + k * 3) + -4(2k + 80) -14 + 2k = (30 + 3k) + -4(2k + 80) Reorder the terms: -14 + 2k = 30 + 3k + -4(80 + 2k) -14 + 2k = 30 + 3k + (80 * -4 + 2k * -4) -14 + 2k = 30 + 3k + (-320 + -8k) Reorder the terms: -14 + 2k = 30 + -320 + 3k + -8k Combine like terms: 30 + -320 = -290 -14 + 2k = -290 + 3k + -8k Combine like terms: 3k + -8k = -5k -14 + 2k = -290 + -5k Solving -14 + 2k = -290 + -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 + 2k + 5k = -290 + -5k + 5k Combine like terms: 2k + 5k = 7k -14 + 7k = -290 + -5k + 5k Combine like terms: -5k + 5k = 0 -14 + 7k = -290 + 0 -14 + 7k = -290 Add '14' to each side of the equation. -14 + 14 + 7k = -290 + 14 Combine like terms: -14 + 14 = 0 0 + 7k = -290 + 14 7k = -290 + 14 Combine like terms: -290 + 14 = -276 7k = -276 Divide each side by '7'. k = -39.42857143 Simplifying k = -39.42857143
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