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Simplifying 5(3k + 7) + -1 = 3(5k + k) + 4 Reorder the terms: 5(7 + 3k) + -1 = 3(5k + k) + 4 (7 * 5 + 3k * 5) + -1 = 3(5k + k) + 4 (35 + 15k) + -1 = 3(5k + k) + 4 Reorder the terms: 35 + -1 + 15k = 3(5k + k) + 4 Combine like terms: 35 + -1 = 34 34 + 15k = 3(5k + k) + 4 Combine like terms: 5k + k = 6k 34 + 15k = 3(6k) + 4 Remove parenthesis around (6k) 34 + 15k = 3 * 6k + 4 Multiply 3 * 6 34 + 15k = 18k + 4 Reorder the terms: 34 + 15k = 4 + 18k Solving 34 + 15k = 4 + 18k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-18k' to each side of the equation. 34 + 15k + -18k = 4 + 18k + -18k Combine like terms: 15k + -18k = -3k 34 + -3k = 4 + 18k + -18k Combine like terms: 18k + -18k = 0 34 + -3k = 4 + 0 34 + -3k = 4 Add '-34' to each side of the equation. 34 + -34 + -3k = 4 + -34 Combine like terms: 34 + -34 = 0 0 + -3k = 4 + -34 -3k = 4 + -34 Combine like terms: 4 + -34 = -30 -3k = -30 Divide each side by '-3'. k = 10 Simplifying k = 10
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