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Simplifying -319 = 8k + 5(6k + -3) Reorder the terms: -319 = 8k + 5(-3 + 6k) -319 = 8k + (-3 * 5 + 6k * 5) -319 = 8k + (-15 + 30k) Reorder the terms: -319 = -15 + 8k + 30k Combine like terms: 8k + 30k = 38k -319 = -15 + 38k Solving -319 = -15 + 38k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-38k' to each side of the equation. -319 + -38k = -15 + 38k + -38k Combine like terms: 38k + -38k = 0 -319 + -38k = -15 + 0 -319 + -38k = -15 Add '319' to each side of the equation. -319 + 319 + -38k = -15 + 319 Combine like terms: -319 + 319 = 0 0 + -38k = -15 + 319 -38k = -15 + 319 Combine like terms: -15 + 319 = 304 -38k = 304 Divide each side by '-38'. k = -8 Simplifying k = -8
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