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Simplifying -5(2k + 6) = -12k + -7(k + -6) Reorder the terms: -5(6 + 2k) = -12k + -7(k + -6) (6 * -5 + 2k * -5) = -12k + -7(k + -6) (-30 + -10k) = -12k + -7(k + -6) Reorder the terms: -30 + -10k = -12k + -7(-6 + k) -30 + -10k = -12k + (-6 * -7 + k * -7) -30 + -10k = -12k + (42 + -7k) Reorder the terms: -30 + -10k = 42 + -12k + -7k Combine like terms: -12k + -7k = -19k -30 + -10k = 42 + -19k Solving -30 + -10k = 42 + -19k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '19k' to each side of the equation. -30 + -10k + 19k = 42 + -19k + 19k Combine like terms: -10k + 19k = 9k -30 + 9k = 42 + -19k + 19k Combine like terms: -19k + 19k = 0 -30 + 9k = 42 + 0 -30 + 9k = 42 Add '30' to each side of the equation. -30 + 30 + 9k = 42 + 30 Combine like terms: -30 + 30 = 0 0 + 9k = 42 + 30 9k = 42 + 30 Combine like terms: 42 + 30 = 72 9k = 72 Divide each side by '9'. k = 8 Simplifying k = 8
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