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Simplifying 5k + -7(k + 1) = 3(k + -2) Reorder the terms: 5k + -7(1 + k) = 3(k + -2) 5k + (1 * -7 + k * -7) = 3(k + -2) 5k + (-7 + -7k) = 3(k + -2) Reorder the terms: -7 + 5k + -7k = 3(k + -2) Combine like terms: 5k + -7k = -2k -7 + -2k = 3(k + -2) Reorder the terms: -7 + -2k = 3(-2 + k) -7 + -2k = (-2 * 3 + k * 3) -7 + -2k = (-6 + 3k) Solving -7 + -2k = -6 + 3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-3k' to each side of the equation. -7 + -2k + -3k = -6 + 3k + -3k Combine like terms: -2k + -3k = -5k -7 + -5k = -6 + 3k + -3k Combine like terms: 3k + -3k = 0 -7 + -5k = -6 + 0 -7 + -5k = -6 Add '7' to each side of the equation. -7 + 7 + -5k = -6 + 7 Combine like terms: -7 + 7 = 0 0 + -5k = -6 + 7 -5k = -6 + 7 Combine like terms: -6 + 7 = 1 -5k = 1 Divide each side by '-5'. k = -0.2 Simplifying k = -0.2
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