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Simplifying 5(k + -3) + 5 = 6k + -5(k + 2) Reorder the terms: 5(-3 + k) + 5 = 6k + -5(k + 2) (-3 * 5 + k * 5) + 5 = 6k + -5(k + 2) (-15 + 5k) + 5 = 6k + -5(k + 2) Reorder the terms: -15 + 5 + 5k = 6k + -5(k + 2) Combine like terms: -15 + 5 = -10 -10 + 5k = 6k + -5(k + 2) Reorder the terms: -10 + 5k = 6k + -5(2 + k) -10 + 5k = 6k + (2 * -5 + k * -5) -10 + 5k = 6k + (-10 + -5k) Reorder the terms: -10 + 5k = -10 + 6k + -5k Combine like terms: 6k + -5k = 1k -10 + 5k = -10 + 1k Add '10' to each side of the equation. -10 + 10 + 5k = -10 + 10 + 1k Combine like terms: -10 + 10 = 0 0 + 5k = -10 + 10 + 1k 5k = -10 + 10 + 1k Combine like terms: -10 + 10 = 0 5k = 0 + 1k 5k = 1k Solving 5k = 1k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1k' to each side of the equation. 5k + -1k = 1k + -1k Combine like terms: 5k + -1k = 4k 4k = 1k + -1k Combine like terms: 1k + -1k = 0 4k = 0 Divide each side by '4'. k = 0 Simplifying k = 0
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