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Simplifying -1k(-2 + -3) + (-1)(3) = -9 + -1(-16) Combine like terms: -2 + -3 = -5 -1k(-5) + (-1)(3) = -9 + -1(-16) Reorder the terms for easier multiplication: -1 * -5k + (-1)(3) = -9 + -1(-16) Multiply -1 * -5 5k + (-1)(3) = -9 + -1(-16) Multiply -1 * 3 5k + -3 = -9 + -1(-16) Reorder the terms: -3 + 5k = -9 + -1(-16) Multiply -1 * -16 -3 + 5k = -9 + 16 Combine like terms: -9 + 16 = 7 -3 + 5k = 7 Solving -3 + 5k = 7 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 5k = 7 + 3 Combine like terms: -3 + 3 = 0 0 + 5k = 7 + 3 5k = 7 + 3 Combine like terms: 7 + 3 = 10 5k = 10 Divide each side by '5'. k = 2 Simplifying k = 2
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