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Simplifying 2k + -7(9 + 5k) = -10(-12k + 9) 2k + (9 * -7 + 5k * -7) = -10(-12k + 9) 2k + (-63 + -35k) = -10(-12k + 9) Reorder the terms: -63 + 2k + -35k = -10(-12k + 9) Combine like terms: 2k + -35k = -33k -63 + -33k = -10(-12k + 9) Reorder the terms: -63 + -33k = -10(9 + -12k) -63 + -33k = (9 * -10 + -12k * -10) -63 + -33k = (-90 + 120k) Solving -63 + -33k = -90 + 120k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-120k' to each side of the equation. -63 + -33k + -120k = -90 + 120k + -120k Combine like terms: -33k + -120k = -153k -63 + -153k = -90 + 120k + -120k Combine like terms: 120k + -120k = 0 -63 + -153k = -90 + 0 -63 + -153k = -90 Add '63' to each side of the equation. -63 + 63 + -153k = -90 + 63 Combine like terms: -63 + 63 = 0 0 + -153k = -90 + 63 -153k = -90 + 63 Combine like terms: -90 + 63 = -27 -153k = -27 Divide each side by '-153'. k = 0.1764705882 Simplifying k = 0.1764705882
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