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Simplifying -1 + k = 3(2k + -3) Reorder the terms: -1 + k = 3(-3 + 2k) -1 + k = (-3 * 3 + 2k * 3) -1 + k = (-9 + 6k) Solving -1 + k = -9 + 6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-6k' to each side of the equation. -1 + k + -6k = -9 + 6k + -6k Combine like terms: k + -6k = -5k -1 + -5k = -9 + 6k + -6k Combine like terms: 6k + -6k = 0 -1 + -5k = -9 + 0 -1 + -5k = -9 Add '1' to each side of the equation. -1 + 1 + -5k = -9 + 1 Combine like terms: -1 + 1 = 0 0 + -5k = -9 + 1 -5k = -9 + 1 Combine like terms: -9 + 1 = -8 -5k = -8 Divide each side by '-5'. k = 1.6 Simplifying k = 1.6
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