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Simplifying -106 = 7(7 + 3k) + -8 -106 = (7 * 7 + 3k * 7) + -8 -106 = (49 + 21k) + -8 Reorder the terms: -106 = 49 + -8 + 21k Combine like terms: 49 + -8 = 41 -106 = 41 + 21k Solving -106 = 41 + 21k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-21k' to each side of the equation. -106 + -21k = 41 + 21k + -21k Combine like terms: 21k + -21k = 0 -106 + -21k = 41 + 0 -106 + -21k = 41 Add '106' to each side of the equation. -106 + 106 + -21k = 41 + 106 Combine like terms: -106 + 106 = 0 0 + -21k = 41 + 106 -21k = 41 + 106 Combine like terms: 41 + 106 = 147 -21k = 147 Divide each side by '-21'. k = -7 Simplifying k = -7
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