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Simplifying -7 + 14k + -13 + -1(-5k) + 3 = 0 Remove parenthesis around (-5k) -7 + 14k + -13 + -1 * -5k + 3 = 0 Multiply -1 * -5 -7 + 14k + -13 + 5k + 3 = 0 Reorder the terms: -7 + -13 + 3 + 14k + 5k = 0 Combine like terms: -7 + -13 = -20 -20 + 3 + 14k + 5k = 0 Combine like terms: -20 + 3 = -17 -17 + 14k + 5k = 0 Combine like terms: 14k + 5k = 19k -17 + 19k = 0 Solving -17 + 19k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + 19k = 0 + 17 Combine like terms: -17 + 17 = 0 0 + 19k = 0 + 17 19k = 0 + 17 Combine like terms: 0 + 17 = 17 19k = 17 Divide each side by '19'. k = 0.8947368421 Simplifying k = 0.8947368421
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