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Simplifying 4 + -6(k + 7) = 5k + 17 Reorder the terms: 4 + -6(7 + k) = 5k + 17 4 + (7 * -6 + k * -6) = 5k + 17 4 + (-42 + -6k) = 5k + 17 Combine like terms: 4 + -42 = -38 -38 + -6k = 5k + 17 Reorder the terms: -38 + -6k = 17 + 5k Solving -38 + -6k = 17 + 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. -38 + -6k + -5k = 17 + 5k + -5k Combine like terms: -6k + -5k = -11k -38 + -11k = 17 + 5k + -5k Combine like terms: 5k + -5k = 0 -38 + -11k = 17 + 0 -38 + -11k = 17 Add '38' to each side of the equation. -38 + 38 + -11k = 17 + 38 Combine like terms: -38 + 38 = 0 0 + -11k = 17 + 38 -11k = 17 + 38 Combine like terms: 17 + 38 = 55 -11k = 55 Divide each side by '-11'. k = -5 Simplifying k = -5
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