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Simplifying 7k + -33 = 5(k + -8) + -7 Reorder the terms: -33 + 7k = 5(k + -8) + -7 Reorder the terms: -33 + 7k = 5(-8 + k) + -7 -33 + 7k = (-8 * 5 + k * 5) + -7 -33 + 7k = (-40 + 5k) + -7 Reorder the terms: -33 + 7k = -40 + -7 + 5k Combine like terms: -40 + -7 = -47 -33 + 7k = -47 + 5k Solving -33 + 7k = -47 + 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. -33 + 7k + -5k = -47 + 5k + -5k Combine like terms: 7k + -5k = 2k -33 + 2k = -47 + 5k + -5k Combine like terms: 5k + -5k = 0 -33 + 2k = -47 + 0 -33 + 2k = -47 Add '33' to each side of the equation. -33 + 33 + 2k = -47 + 33 Combine like terms: -33 + 33 = 0 0 + 2k = -47 + 33 2k = -47 + 33 Combine like terms: -47 + 33 = -14 2k = -14 Divide each side by '2'. k = -7 Simplifying k = -7
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