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Simplifying 3(k + -7) + 8k = 12(k + -1) Reorder the terms: 3(-7 + k) + 8k = 12(k + -1) (-7 * 3 + k * 3) + 8k = 12(k + -1) (-21 + 3k) + 8k = 12(k + -1) Combine like terms: 3k + 8k = 11k -21 + 11k = 12(k + -1) Reorder the terms: -21 + 11k = 12(-1 + k) -21 + 11k = (-1 * 12 + k * 12) -21 + 11k = (-12 + 12k) Solving -21 + 11k = -12 + 12k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-12k' to each side of the equation. -21 + 11k + -12k = -12 + 12k + -12k Combine like terms: 11k + -12k = -1k -21 + -1k = -12 + 12k + -12k Combine like terms: 12k + -12k = 0 -21 + -1k = -12 + 0 -21 + -1k = -12 Add '21' to each side of the equation. -21 + 21 + -1k = -12 + 21 Combine like terms: -21 + 21 = 0 0 + -1k = -12 + 21 -1k = -12 + 21 Combine like terms: -12 + 21 = 9 -1k = 9 Divide each side by '-1'. k = -9 Simplifying k = -9
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