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Simplifying -5 + -8k = 7(5 + -3k) + 5k -5 + -8k = (5 * 7 + -3k * 7) + 5k -5 + -8k = (35 + -21k) + 5k Combine like terms: -21k + 5k = -16k -5 + -8k = 35 + -16k Solving -5 + -8k = 35 + -16k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '16k' to each side of the equation. -5 + -8k + 16k = 35 + -16k + 16k Combine like terms: -8k + 16k = 8k -5 + 8k = 35 + -16k + 16k Combine like terms: -16k + 16k = 0 -5 + 8k = 35 + 0 -5 + 8k = 35 Add '5' to each side of the equation. -5 + 5 + 8k = 35 + 5 Combine like terms: -5 + 5 = 0 0 + 8k = 35 + 5 8k = 35 + 5 Combine like terms: 35 + 5 = 40 8k = 40 Divide each side by '8'. k = 5 Simplifying k = 5
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