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Simplifying -3k + 37 = -1 + -8(8 + -6k) Reorder the terms: 37 + -3k = -1 + -8(8 + -6k) 37 + -3k = -1 + (8 * -8 + -6k * -8) 37 + -3k = -1 + (-64 + 48k) Combine like terms: -1 + -64 = -65 37 + -3k = -65 + 48k Solving 37 + -3k = -65 + 48k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-48k' to each side of the equation. 37 + -3k + -48k = -65 + 48k + -48k Combine like terms: -3k + -48k = -51k 37 + -51k = -65 + 48k + -48k Combine like terms: 48k + -48k = 0 37 + -51k = -65 + 0 37 + -51k = -65 Add '-37' to each side of the equation. 37 + -37 + -51k = -65 + -37 Combine like terms: 37 + -37 = 0 0 + -51k = -65 + -37 -51k = -65 + -37 Combine like terms: -65 + -37 = -102 -51k = -102 Divide each side by '-51'. k = 2 Simplifying k = 2
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