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Simplifying 5(7k + -10) = 9(3k + -6) Reorder the terms: 5(-10 + 7k) = 9(3k + -6) (-10 * 5 + 7k * 5) = 9(3k + -6) (-50 + 35k) = 9(3k + -6) Reorder the terms: -50 + 35k = 9(-6 + 3k) -50 + 35k = (-6 * 9 + 3k * 9) -50 + 35k = (-54 + 27k) Solving -50 + 35k = -54 + 27k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-27k' to each side of the equation. -50 + 35k + -27k = -54 + 27k + -27k Combine like terms: 35k + -27k = 8k -50 + 8k = -54 + 27k + -27k Combine like terms: 27k + -27k = 0 -50 + 8k = -54 + 0 -50 + 8k = -54 Add '50' to each side of the equation. -50 + 50 + 8k = -54 + 50 Combine like terms: -50 + 50 = 0 0 + 8k = -54 + 50 8k = -54 + 50 Combine like terms: -54 + 50 = -4 8k = -4 Divide each side by '8'. k = -0.5 Simplifying k = -0.5
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