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Simplifying 7k + -4 + -8k = -4(7k + -3) + 7(2k + 7) Reorder the terms: -4 + 7k + -8k = -4(7k + -3) + 7(2k + 7) Combine like terms: 7k + -8k = -1k -4 + -1k = -4(7k + -3) + 7(2k + 7) Reorder the terms: -4 + -1k = -4(-3 + 7k) + 7(2k + 7) -4 + -1k = (-3 * -4 + 7k * -4) + 7(2k + 7) -4 + -1k = (12 + -28k) + 7(2k + 7) Reorder the terms: -4 + -1k = 12 + -28k + 7(7 + 2k) -4 + -1k = 12 + -28k + (7 * 7 + 2k * 7) -4 + -1k = 12 + -28k + (49 + 14k) Reorder the terms: -4 + -1k = 12 + 49 + -28k + 14k Combine like terms: 12 + 49 = 61 -4 + -1k = 61 + -28k + 14k Combine like terms: -28k + 14k = -14k -4 + -1k = 61 + -14k Solving -4 + -1k = 61 + -14k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '14k' to each side of the equation. -4 + -1k + 14k = 61 + -14k + 14k Combine like terms: -1k + 14k = 13k -4 + 13k = 61 + -14k + 14k Combine like terms: -14k + 14k = 0 -4 + 13k = 61 + 0 -4 + 13k = 61 Add '4' to each side of the equation. -4 + 4 + 13k = 61 + 4 Combine like terms: -4 + 4 = 0 0 + 13k = 61 + 4 13k = 61 + 4 Combine like terms: 61 + 4 = 65 13k = 65 Divide each side by '13'. k = 5 Simplifying k = 5
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