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Simplifying k + -7 = 10k + -16 Reorder the terms: -7 + k = 10k + -16 Reorder the terms: -7 + k = -16 + 10k Solving -7 + k = -16 + 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. -7 + k + -10k = -16 + 10k + -10k Combine like terms: k + -10k = -9k -7 + -9k = -16 + 10k + -10k Combine like terms: 10k + -10k = 0 -7 + -9k = -16 + 0 -7 + -9k = -16 Add '7' to each side of the equation. -7 + 7 + -9k = -16 + 7 Combine like terms: -7 + 7 = 0 0 + -9k = -16 + 7 -9k = -16 + 7 Combine like terms: -16 + 7 = -9 -9k = -9 Divide each side by '-9'. k = 1 Simplifying k = 1
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