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Simplifying 2 + -2k = 4(5k + -4) Reorder the terms: 2 + -2k = 4(-4 + 5k) 2 + -2k = (-4 * 4 + 5k * 4) 2 + -2k = (-16 + 20k) Solving 2 + -2k = -16 + 20k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-20k' to each side of the equation. 2 + -2k + -20k = -16 + 20k + -20k Combine like terms: -2k + -20k = -22k 2 + -22k = -16 + 20k + -20k Combine like terms: 20k + -20k = 0 2 + -22k = -16 + 0 2 + -22k = -16 Add '-2' to each side of the equation. 2 + -2 + -22k = -16 + -2 Combine like terms: 2 + -2 = 0 0 + -22k = -16 + -2 -22k = -16 + -2 Combine like terms: -16 + -2 = -18 -22k = -18 Divide each side by '-22'. k = 0.8181818182 Simplifying k = 0.8181818182
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