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Simplifying 9k + -3 = 5 + 10(k + 9) Reorder the terms: -3 + 9k = 5 + 10(k + 9) Reorder the terms: -3 + 9k = 5 + 10(9 + k) -3 + 9k = 5 + (9 * 10 + k * 10) -3 + 9k = 5 + (90 + 10k) Combine like terms: 5 + 90 = 95 -3 + 9k = 95 + 10k Solving -3 + 9k = 95 + 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. -3 + 9k + -10k = 95 + 10k + -10k Combine like terms: 9k + -10k = -1k -3 + -1k = 95 + 10k + -10k Combine like terms: 10k + -10k = 0 -3 + -1k = 95 + 0 -3 + -1k = 95 Add '3' to each side of the equation. -3 + 3 + -1k = 95 + 3 Combine like terms: -3 + 3 = 0 0 + -1k = 95 + 3 -1k = 95 + 3 Combine like terms: 95 + 3 = 98 -1k = 98 Divide each side by '-1'. k = -98 Simplifying k = -98
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