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Simplifying -108 = -3 + 7(4k + -3) Reorder the terms: -108 = -3 + 7(-3 + 4k) -108 = -3 + (-3 * 7 + 4k * 7) -108 = -3 + (-21 + 28k) Combine like terms: -3 + -21 = -24 -108 = -24 + 28k Solving -108 = -24 + 28k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-28k' to each side of the equation. -108 + -28k = -24 + 28k + -28k Combine like terms: 28k + -28k = 0 -108 + -28k = -24 + 0 -108 + -28k = -24 Add '108' to each side of the equation. -108 + 108 + -28k = -24 + 108 Combine like terms: -108 + 108 = 0 0 + -28k = -24 + 108 -28k = -24 + 108 Combine like terms: -24 + 108 = 84 -28k = 84 Divide each side by '-28'. k = -3 Simplifying k = -3
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