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Simplifying 62 = -2k + -5(-3k + -2) Reorder the terms: 62 = -2k + -5(-2 + -3k) 62 = -2k + (-2 * -5 + -3k * -5) 62 = -2k + (10 + 15k) Reorder the terms: 62 = 10 + -2k + 15k Combine like terms: -2k + 15k = 13k 62 = 10 + 13k Solving 62 = 10 + 13k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-13k' to each side of the equation. 62 + -13k = 10 + 13k + -13k Combine like terms: 13k + -13k = 0 62 + -13k = 10 + 0 62 + -13k = 10 Add '-62' to each side of the equation. 62 + -62 + -13k = 10 + -62 Combine like terms: 62 + -62 = 0 0 + -13k = 10 + -62 -13k = 10 + -62 Combine like terms: 10 + -62 = -52 -13k = -52 Divide each side by '-13'. k = 4 Simplifying k = 4
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