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Simplifying -3 + 7(8k + -5) = -206 Reorder the terms: -3 + 7(-5 + 8k) = -206 -3 + (-5 * 7 + 8k * 7) = -206 -3 + (-35 + 56k) = -206 Combine like terms: -3 + -35 = -38 -38 + 56k = -206 Solving -38 + 56k = -206 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '38' to each side of the equation. -38 + 38 + 56k = -206 + 38 Combine like terms: -38 + 38 = 0 0 + 56k = -206 + 38 56k = -206 + 38 Combine like terms: -206 + 38 = -168 56k = -168 Divide each side by '56'. k = -3 Simplifying k = -3
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