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Simplifying -1k + -4 + 14k + 3 = 2(7 + 3) + 18 Reorder the terms: -4 + 3 + -1k + 14k = 2(7 + 3) + 18 Combine like terms: -4 + 3 = -1 -1 + -1k + 14k = 2(7 + 3) + 18 Combine like terms: -1k + 14k = 13k -1 + 13k = 2(7 + 3) + 18 Combine like terms: 7 + 3 = 10 -1 + 13k = 2(10) + 18 Multiply 2 * 10 -1 + 13k = 20 + 18 Combine like terms: 20 + 18 = 38 -1 + 13k = 38 Solving -1 + 13k = 38 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 13k = 38 + 1 Combine like terms: -1 + 1 = 0 0 + 13k = 38 + 1 13k = 38 + 1 Combine like terms: 38 + 1 = 39 13k = 39 Divide each side by '13'. k = 3 Simplifying k = 3
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