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Simplifying 5(3k + -7) + 7 = 7(2k + -4) Reorder the terms: 5(-7 + 3k) + 7 = 7(2k + -4) (-7 * 5 + 3k * 5) + 7 = 7(2k + -4) (-35 + 15k) + 7 = 7(2k + -4) Reorder the terms: -35 + 7 + 15k = 7(2k + -4) Combine like terms: -35 + 7 = -28 -28 + 15k = 7(2k + -4) Reorder the terms: -28 + 15k = 7(-4 + 2k) -28 + 15k = (-4 * 7 + 2k * 7) -28 + 15k = (-28 + 14k) Add '28' to each side of the equation. -28 + 28 + 15k = -28 + 28 + 14k Combine like terms: -28 + 28 = 0 0 + 15k = -28 + 28 + 14k 15k = -28 + 28 + 14k Combine like terms: -28 + 28 = 0 15k = 0 + 14k 15k = 14k Solving 15k = 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. 15k + -14k = 14k + -14k Combine like terms: 15k + -14k = 1k 1k = 14k + -14k Combine like terms: 14k + -14k = 0 1k = 0 Divide each side by '1'. k = 0 Simplifying k = 0
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