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Simplifying -126 = 5(-8k + -3) + 3k Reorder the terms: -126 = 5(-3 + -8k) + 3k -126 = (-3 * 5 + -8k * 5) + 3k -126 = (-15 + -40k) + 3k Combine like terms: -40k + 3k = -37k -126 = -15 + -37k Solving -126 = -15 + -37k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '37k' to each side of the equation. -126 + 37k = -15 + -37k + 37k Combine like terms: -37k + 37k = 0 -126 + 37k = -15 + 0 -126 + 37k = -15 Add '126' to each side of the equation. -126 + 126 + 37k = -15 + 126 Combine like terms: -126 + 126 = 0 0 + 37k = -15 + 126 37k = -15 + 126 Combine like terms: -15 + 126 = 111 37k = 111 Divide each side by '37'. k = 3 Simplifying k = 3
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