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Simplifying 3(5k + -2) + -3 = 7k + 63 Reorder the terms: 3(-2 + 5k) + -3 = 7k + 63 (-2 * 3 + 5k * 3) + -3 = 7k + 63 (-6 + 15k) + -3 = 7k + 63 Reorder the terms: -6 + -3 + 15k = 7k + 63 Combine like terms: -6 + -3 = -9 -9 + 15k = 7k + 63 Reorder the terms: -9 + 15k = 63 + 7k Solving -9 + 15k = 63 + 7k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-7k' to each side of the equation. -9 + 15k + -7k = 63 + 7k + -7k Combine like terms: 15k + -7k = 8k -9 + 8k = 63 + 7k + -7k Combine like terms: 7k + -7k = 0 -9 + 8k = 63 + 0 -9 + 8k = 63 Add '9' to each side of the equation. -9 + 9 + 8k = 63 + 9 Combine like terms: -9 + 9 = 0 0 + 8k = 63 + 9 8k = 63 + 9 Combine like terms: 63 + 9 = 72 8k = 72 Divide each side by '8'. k = 9 Simplifying k = 9
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