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Simplifying (3k + -1)(3m + -5) = 0 Reorder the terms: (-1 + 3k)(3m + -5) = 0 Reorder the terms: (-1 + 3k)(-5 + 3m) = 0 Multiply (-1 + 3k) * (-5 + 3m) (-1(-5 + 3m) + 3k * (-5 + 3m)) = 0 ((-5 * -1 + 3m * -1) + 3k * (-5 + 3m)) = 0 ((5 + -3m) + 3k * (-5 + 3m)) = 0 (5 + -3m + (-5 * 3k + 3m * 3k)) = 0 (5 + -3m + (-15k + 9km)) = 0 Reorder the terms: (5 + -15k + 9km + -3m) = 0 (5 + -15k + 9km + -3m) = 0 Solving 5 + -15k + 9km + -3m = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -15k + 9km + -5 + -3m = 0 + -5 Reorder the terms: 5 + -5 + -15k + 9km + -3m = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -15k + 9km + -3m = 0 + -5 -15k + 9km + -3m = 0 + -5 Combine like terms: 0 + -5 = -5 -15k + 9km + -3m = -5 Add '3m' to each side of the equation. -15k + 9km + -3m + 3m = -5 + 3m Combine like terms: -3m + 3m = 0 -15k + 9km + 0 = -5 + 3m -15k + 9km = -5 + 3m Reorder the terms: 5 + -15k + 9km + -3m = -5 + 3m + 5 + -3m Reorder the terms: 5 + -15k + 9km + -3m = -5 + 5 + 3m + -3m Combine like terms: -5 + 5 = 0 5 + -15k + 9km + -3m = 0 + 3m + -3m 5 + -15k + 9km + -3m = 3m + -3m Combine like terms: 3m + -3m = 0 5 + -15k + 9km + -3m = 0 The solution to this equation could not be determined.
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