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Simplifying -7 + -11(3 + -1k) = 8(k + 1) -7 + (3 * -11 + -1k * -11) = 8(k + 1) -7 + (-33 + 11k) = 8(k + 1) Combine like terms: -7 + -33 = -40 -40 + 11k = 8(k + 1) Reorder the terms: -40 + 11k = 8(1 + k) -40 + 11k = (1 * 8 + k * 8) -40 + 11k = (8 + 8k) Solving -40 + 11k = 8 + 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. -40 + 11k + -8k = 8 + 8k + -8k Combine like terms: 11k + -8k = 3k -40 + 3k = 8 + 8k + -8k Combine like terms: 8k + -8k = 0 -40 + 3k = 8 + 0 -40 + 3k = 8 Add '40' to each side of the equation. -40 + 40 + 3k = 8 + 40 Combine like terms: -40 + 40 = 0 0 + 3k = 8 + 40 3k = 8 + 40 Combine like terms: 8 + 40 = 48 3k = 48 Divide each side by '3'. k = 16 Simplifying k = 16
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