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Simplifying -7 + 3k = -8(k + 5) Reorder the terms: -7 + 3k = -8(5 + k) -7 + 3k = (5 * -8 + k * -8) -7 + 3k = (-40 + -8k) Solving -7 + 3k = -40 + -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. -7 + 3k + 8k = -40 + -8k + 8k Combine like terms: 3k + 8k = 11k -7 + 11k = -40 + -8k + 8k Combine like terms: -8k + 8k = 0 -7 + 11k = -40 + 0 -7 + 11k = -40 Add '7' to each side of the equation. -7 + 7 + 11k = -40 + 7 Combine like terms: -7 + 7 = 0 0 + 11k = -40 + 7 11k = -40 + 7 Combine like terms: -40 + 7 = -33 11k = -33 Divide each side by '11'. k = -3 Simplifying k = -3
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