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Simplifying 18 + k = 7 + 10(k + -7) Reorder the terms: 18 + k = 7 + 10(-7 + k) 18 + k = 7 + (-7 * 10 + k * 10) 18 + k = 7 + (-70 + 10k) Combine like terms: 7 + -70 = -63 18 + k = -63 + 10k Solving 18 + k = -63 + 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. 18 + k + -10k = -63 + 10k + -10k Combine like terms: k + -10k = -9k 18 + -9k = -63 + 10k + -10k Combine like terms: 10k + -10k = 0 18 + -9k = -63 + 0 18 + -9k = -63 Add '-18' to each side of the equation. 18 + -18 + -9k = -63 + -18 Combine like terms: 18 + -18 = 0 0 + -9k = -63 + -18 -9k = -63 + -18 Combine like terms: -63 + -18 = -81 -9k = -81 Divide each side by '-9'. k = 9 Simplifying k = 9
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