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Simplifying 5(k + 5) + -2(n + -3) = 62 Reorder the terms: 5(5 + k) + -2(n + -3) = 62 (5 * 5 + k * 5) + -2(n + -3) = 62 (25 + 5k) + -2(n + -3) = 62 Reorder the terms: 25 + 5k + -2(-3 + n) = 62 25 + 5k + (-3 * -2 + n * -2) = 62 25 + 5k + (6 + -2n) = 62 Reorder the terms: 25 + 6 + 5k + -2n = 62 Combine like terms: 25 + 6 = 31 31 + 5k + -2n = 62 Solving 31 + 5k + -2n = 62 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-31' to each side of the equation. 31 + 5k + -31 + -2n = 62 + -31 Reorder the terms: 31 + -31 + 5k + -2n = 62 + -31 Combine like terms: 31 + -31 = 0 0 + 5k + -2n = 62 + -31 5k + -2n = 62 + -31 Combine like terms: 62 + -31 = 31 5k + -2n = 31 Add '2n' to each side of the equation. 5k + -2n + 2n = 31 + 2n Combine like terms: -2n + 2n = 0 5k + 0 = 31 + 2n 5k = 31 + 2n Divide each side by '5'. k = 6.2 + 0.4n Simplifying k = 6.2 + 0.4n
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