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Simplifying -109 = -5(1 + -3k) + -2k -109 = (1 * -5 + -3k * -5) + -2k -109 = (-5 + 15k) + -2k Combine like terms: 15k + -2k = 13k -109 = -5 + 13k Solving -109 = -5 + 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. -109 + -13k = -5 + 13k + -13k Combine like terms: 13k + -13k = 0 -109 + -13k = -5 + 0 -109 + -13k = -5 Add '109' to each side of the equation. -109 + 109 + -13k = -5 + 109 Combine like terms: -109 + 109 = 0 0 + -13k = -5 + 109 -13k = -5 + 109 Combine like terms: -5 + 109 = 104 -13k = 104 Divide each side by '-13'. k = -8 Simplifying k = -8
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