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Simplifying -4 + -3(1 + 2k) = -5k + -8 -4 + (1 * -3 + 2k * -3) = -5k + -8 -4 + (-3 + -6k) = -5k + -8 Combine like terms: -4 + -3 = -7 -7 + -6k = -5k + -8 Reorder the terms: -7 + -6k = -8 + -5k Solving -7 + -6k = -8 + -5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '5k' to each side of the equation. -7 + -6k + 5k = -8 + -5k + 5k Combine like terms: -6k + 5k = -1k -7 + -1k = -8 + -5k + 5k Combine like terms: -5k + 5k = 0 -7 + -1k = -8 + 0 -7 + -1k = -8 Add '7' to each side of the equation. -7 + 7 + -1k = -8 + 7 Combine like terms: -7 + 7 = 0 0 + -1k = -8 + 7 -1k = -8 + 7 Combine like terms: -8 + 7 = -1 -1k = -1 Divide each side by '-1'. k = 1 Simplifying k = 1
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