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Simplifying 62 = -6(k + -1) + -7(2k + -8) Reorder the terms: 62 = -6(-1 + k) + -7(2k + -8) 62 = (-1 * -6 + k * -6) + -7(2k + -8) 62 = (6 + -6k) + -7(2k + -8) Reorder the terms: 62 = 6 + -6k + -7(-8 + 2k) 62 = 6 + -6k + (-8 * -7 + 2k * -7) 62 = 6 + -6k + (56 + -14k) Reorder the terms: 62 = 6 + 56 + -6k + -14k Combine like terms: 6 + 56 = 62 62 = 62 + -6k + -14k Combine like terms: -6k + -14k = -20k 62 = 62 + -20k Add '-62' to each side of the equation. 62 + -62 = 62 + -62 + -20k Combine like terms: 62 + -62 = 0 0 = 62 + -62 + -20k Combine like terms: 62 + -62 = 0 0 = 0 + -20k 0 = -20k Solving 0 = -20k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '20k' to each side of the equation. 0 + 20k = -20k + 20k Remove the zero: 20k = -20k + 20k Combine like terms: -20k + 20k = 0 20k = 0 Divide each side by '20'. k = 0 Simplifying k = 0
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