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Simplifying 4(2k + -5) + -5k = 5k + -34 Reorder the terms: 4(-5 + 2k) + -5k = 5k + -34 (-5 * 4 + 2k * 4) + -5k = 5k + -34 (-20 + 8k) + -5k = 5k + -34 Combine like terms: 8k + -5k = 3k -20 + 3k = 5k + -34 Reorder the terms: -20 + 3k = -34 + 5k Solving -20 + 3k = -34 + 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. -20 + 3k + -5k = -34 + 5k + -5k Combine like terms: 3k + -5k = -2k -20 + -2k = -34 + 5k + -5k Combine like terms: 5k + -5k = 0 -20 + -2k = -34 + 0 -20 + -2k = -34 Add '20' to each side of the equation. -20 + 20 + -2k = -34 + 20 Combine like terms: -20 + 20 = 0 0 + -2k = -34 + 20 -2k = -34 + 20 Combine like terms: -34 + 20 = -14 -2k = -14 Divide each side by '-2'. k = 7 Simplifying k = 7
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