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Simplifying k + -4(3k + -2) = 8k + 2 + -13 Reorder the terms: k + -4(-2 + 3k) = 8k + 2 + -13 k + (-2 * -4 + 3k * -4) = 8k + 2 + -13 k + (8 + -12k) = 8k + 2 + -13 Reorder the terms: 8 + k + -12k = 8k + 2 + -13 Combine like terms: k + -12k = -11k 8 + -11k = 8k + 2 + -13 Reorder the terms: 8 + -11k = 2 + -13 + 8k Combine like terms: 2 + -13 = -11 8 + -11k = -11 + 8k Solving 8 + -11k = -11 + 8k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-8k' to each side of the equation. 8 + -11k + -8k = -11 + 8k + -8k Combine like terms: -11k + -8k = -19k 8 + -19k = -11 + 8k + -8k Combine like terms: 8k + -8k = 0 8 + -19k = -11 + 0 8 + -19k = -11 Add '-8' to each side of the equation. 8 + -8 + -19k = -11 + -8 Combine like terms: 8 + -8 = 0 0 + -19k = -11 + -8 -19k = -11 + -8 Combine like terms: -11 + -8 = -19 -19k = -19 Divide each side by '-19'. k = 1 Simplifying k = 1
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