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Simplifying 6(k + -3) + -8 = 5k + -1(4k * 2) Reorder the terms: 6(-3 + k) + -8 = 5k + -1(4k * 2) (-3 * 6 + k * 6) + -8 = 5k + -1(4k * 2) (-18 + 6k) + -8 = 5k + -1(4k * 2) Reorder the terms: -18 + -8 + 6k = 5k + -1(4k * 2) Combine like terms: -18 + -8 = -26 -26 + 6k = 5k + -1(4k * 2) Reorder the terms for easier multiplication: -26 + 6k = 5k + -1(4 * 2k) Multiply 4 * 2 -26 + 6k = 5k + -1(8k) Remove parenthesis around (8k) -26 + 6k = 5k + -1 * 8k Multiply -1 * 8 -26 + 6k = 5k + -8k Combine like terms: 5k + -8k = -3k -26 + 6k = -3k Solving -26 + 6k = -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. -26 + 6k + 3k = -3k + 3k Combine like terms: 6k + 3k = 9k -26 + 9k = -3k + 3k Combine like terms: -3k + 3k = 0 -26 + 9k = 0 Add '26' to each side of the equation. -26 + 26 + 9k = 0 + 26 Combine like terms: -26 + 26 = 0 0 + 9k = 0 + 26 9k = 0 + 26 Combine like terms: 0 + 26 = 26 9k = 26 Divide each side by '9'. k = 2.888888889 Simplifying k = 2.888888889
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