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Simplifying -139 = -5(2k + 7) + -3k Reorder the terms: -139 = -5(7 + 2k) + -3k -139 = (7 * -5 + 2k * -5) + -3k -139 = (-35 + -10k) + -3k Combine like terms: -10k + -3k = -13k -139 = -35 + -13k Solving -139 = -35 + -13k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '13k' to each side of the equation. -139 + 13k = -35 + -13k + 13k Combine like terms: -13k + 13k = 0 -139 + 13k = -35 + 0 -139 + 13k = -35 Add '139' to each side of the equation. -139 + 139 + 13k = -35 + 139 Combine like terms: -139 + 139 = 0 0 + 13k = -35 + 139 13k = -35 + 139 Combine like terms: -35 + 139 = 104 13k = 104 Divide each side by '13'. k = 8 Simplifying k = 8
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