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Simplifying -49 + 7k = 7(2k + 3) Reorder the terms: -49 + 7k = 7(3 + 2k) -49 + 7k = (3 * 7 + 2k * 7) -49 + 7k = (21 + 14k) Solving -49 + 7k = 21 + 14k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-14k' to each side of the equation. -49 + 7k + -14k = 21 + 14k + -14k Combine like terms: 7k + -14k = -7k -49 + -7k = 21 + 14k + -14k Combine like terms: 14k + -14k = 0 -49 + -7k = 21 + 0 -49 + -7k = 21 Add '49' to each side of the equation. -49 + 49 + -7k = 21 + 49 Combine like terms: -49 + 49 = 0 0 + -7k = 21 + 49 -7k = 21 + 49 Combine like terms: 21 + 49 = 70 -7k = 70 Divide each side by '-7'. k = -10 Simplifying k = -10
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