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Simplifying 8k + 13 = -8 + 4 + 10k + 3 Reorder the terms: 13 + 8k = -8 + 4 + 10k + 3 Reorder the terms: 13 + 8k = -8 + 4 + 3 + 10k Combine like terms: -8 + 4 = -4 13 + 8k = -4 + 3 + 10k Combine like terms: -4 + 3 = -1 13 + 8k = -1 + 10k Solving 13 + 8k = -1 + 10k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-10k' to each side of the equation. 13 + 8k + -10k = -1 + 10k + -10k Combine like terms: 8k + -10k = -2k 13 + -2k = -1 + 10k + -10k Combine like terms: 10k + -10k = 0 13 + -2k = -1 + 0 13 + -2k = -1 Add '-13' to each side of the equation. 13 + -13 + -2k = -1 + -13 Combine like terms: 13 + -13 = 0 0 + -2k = -1 + -13 -2k = -1 + -13 Combine like terms: -1 + -13 = -14 -2k = -14 Divide each side by '-2'. k = 7 Simplifying k = 7
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