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Simplifying -3(1 + 8k) = -55 + -11k (1 * -3 + 8k * -3) = -55 + -11k (-3 + -24k) = -55 + -11k Solving -3 + -24k = -55 + -11k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '11k' to each side of the equation. -3 + -24k + 11k = -55 + -11k + 11k Combine like terms: -24k + 11k = -13k -3 + -13k = -55 + -11k + 11k Combine like terms: -11k + 11k = 0 -3 + -13k = -55 + 0 -3 + -13k = -55 Add '3' to each side of the equation. -3 + 3 + -13k = -55 + 3 Combine like terms: -3 + 3 = 0 0 + -13k = -55 + 3 -13k = -55 + 3 Combine like terms: -55 + 3 = -52 -13k = -52 Divide each side by '-13'. k = 4 Simplifying k = 4
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