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Simplifying -1 + k = -4(4 + -5k) + -4 -1 + k = (4 * -4 + -5k * -4) + -4 -1 + k = (-16 + 20k) + -4 Reorder the terms: -1 + k = -16 + -4 + 20k Combine like terms: -16 + -4 = -20 -1 + k = -20 + 20k Solving -1 + k = -20 + 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. -1 + k + -20k = -20 + 20k + -20k Combine like terms: k + -20k = -19k -1 + -19k = -20 + 20k + -20k Combine like terms: 20k + -20k = 0 -1 + -19k = -20 + 0 -1 + -19k = -20 Add '1' to each side of the equation. -1 + 1 + -19k = -20 + 1 Combine like terms: -1 + 1 = 0 0 + -19k = -20 + 1 -19k = -20 + 1 Combine like terms: -20 + 1 = -19 -19k = -19 Divide each side by '-19'. k = 1 Simplifying k = 1
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