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Simplifying 7(-7k + 5) = 7(5 + -2k) Reorder the terms: 7(5 + -7k) = 7(5 + -2k) (5 * 7 + -7k * 7) = 7(5 + -2k) (35 + -49k) = 7(5 + -2k) 35 + -49k = (5 * 7 + -2k * 7) 35 + -49k = (35 + -14k) Add '-35' to each side of the equation. 35 + -35 + -49k = 35 + -35 + -14k Combine like terms: 35 + -35 = 0 0 + -49k = 35 + -35 + -14k -49k = 35 + -35 + -14k Combine like terms: 35 + -35 = 0 -49k = 0 + -14k -49k = -14k Solving -49k = -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. -49k + 14k = -14k + 14k Combine like terms: -49k + 14k = -35k -35k = -14k + 14k Combine like terms: -14k + 14k = 0 -35k = 0 Divide each side by '-35'. k = 0 Simplifying k = 0
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