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Simplifying 76 = -7(3k + 3) + -8 Reorder the terms: 76 = -7(3 + 3k) + -8 76 = (3 * -7 + 3k * -7) + -8 76 = (-21 + -21k) + -8 Reorder the terms: 76 = -21 + -8 + -21k Combine like terms: -21 + -8 = -29 76 = -29 + -21k Solving 76 = -29 + -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. 76 + 21k = -29 + -21k + 21k Combine like terms: -21k + 21k = 0 76 + 21k = -29 + 0 76 + 21k = -29 Add '-76' to each side of the equation. 76 + -76 + 21k = -29 + -76 Combine like terms: 76 + -76 = 0 0 + 21k = -29 + -76 21k = -29 + -76 Combine like terms: -29 + -76 = -105 21k = -105 Divide each side by '21'. k = -5 Simplifying k = -5
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