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Simplifying 10 + -3k = -1(-3k + -4) Reorder the terms: 10 + -3k = -1(-4 + -3k) 10 + -3k = (-4 * -1 + -3k * -1) 10 + -3k = (4 + 3k) Solving 10 + -3k = 4 + 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. 10 + -3k + -3k = 4 + 3k + -3k Combine like terms: -3k + -3k = -6k 10 + -6k = 4 + 3k + -3k Combine like terms: 3k + -3k = 0 10 + -6k = 4 + 0 10 + -6k = 4 Add '-10' to each side of the equation. 10 + -10 + -6k = 4 + -10 Combine like terms: 10 + -10 = 0 0 + -6k = 4 + -10 -6k = 4 + -10 Combine like terms: 4 + -10 = -6 -6k = -6 Divide each side by '-6'. k = 1 Simplifying k = 1
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