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Simplifying k + 1 = 16k + -48 Reorder the terms: 1 + k = 16k + -48 Reorder the terms: 1 + k = -48 + 16k Solving 1 + k = -48 + 16k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-16k' to each side of the equation. 1 + k + -16k = -48 + 16k + -16k Combine like terms: k + -16k = -15k 1 + -15k = -48 + 16k + -16k Combine like terms: 16k + -16k = 0 1 + -15k = -48 + 0 1 + -15k = -48 Add '-1' to each side of the equation. 1 + -1 + -15k = -48 + -1 Combine like terms: 1 + -1 = 0 0 + -15k = -48 + -1 -15k = -48 + -1 Combine like terms: -48 + -1 = -49 -15k = -49 Divide each side by '-15'. k = 3.266666667 Simplifying k = 3.266666667
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