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Simplifying 7k + -14 = 3(5k + -18) Reorder the terms: -14 + 7k = 3(5k + -18) Reorder the terms: -14 + 7k = 3(-18 + 5k) -14 + 7k = (-18 * 3 + 5k * 3) -14 + 7k = (-54 + 15k) Solving -14 + 7k = -54 + 15k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-15k' to each side of the equation. -14 + 7k + -15k = -54 + 15k + -15k Combine like terms: 7k + -15k = -8k -14 + -8k = -54 + 15k + -15k Combine like terms: 15k + -15k = 0 -14 + -8k = -54 + 0 -14 + -8k = -54 Add '14' to each side of the equation. -14 + 14 + -8k = -54 + 14 Combine like terms: -14 + 14 = 0 0 + -8k = -54 + 14 -8k = -54 + 14 Combine like terms: -54 + 14 = -40 -8k = -40 Divide each side by '-8'. k = 5 Simplifying k = 5
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