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Simplifying 8k + -6 = 10(k + -1) Reorder the terms: -6 + 8k = 10(k + -1) Reorder the terms: -6 + 8k = 10(-1 + k) -6 + 8k = (-1 * 10 + k * 10) -6 + 8k = (-10 + 10k) Solving -6 + 8k = -10 + 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. -6 + 8k + -10k = -10 + 10k + -10k Combine like terms: 8k + -10k = -2k -6 + -2k = -10 + 10k + -10k Combine like terms: 10k + -10k = 0 -6 + -2k = -10 + 0 -6 + -2k = -10 Add '6' to each side of the equation. -6 + 6 + -2k = -10 + 6 Combine like terms: -6 + 6 = 0 0 + -2k = -10 + 6 -2k = -10 + 6 Combine like terms: -10 + 6 = -4 -2k = -4 Divide each side by '-2'. k = 2 Simplifying k = 2
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