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Simplifying -8k + 6(-8 + 7k) = k + -15 -8k + (-8 * 6 + 7k * 6) = k + -15 -8k + (-48 + 42k) = k + -15 Reorder the terms: -48 + -8k + 42k = k + -15 Combine like terms: -8k + 42k = 34k -48 + 34k = k + -15 Reorder the terms: -48 + 34k = -15 + k Solving -48 + 34k = -15 + k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1k' to each side of the equation. -48 + 34k + -1k = -15 + k + -1k Combine like terms: 34k + -1k = 33k -48 + 33k = -15 + k + -1k Combine like terms: k + -1k = 0 -48 + 33k = -15 + 0 -48 + 33k = -15 Add '48' to each side of the equation. -48 + 48 + 33k = -15 + 48 Combine like terms: -48 + 48 = 0 0 + 33k = -15 + 48 33k = -15 + 48 Combine like terms: -15 + 48 = 33 33k = 33 Divide each side by '33'. k = 1 Simplifying k = 1
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