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Simplifying 4k + -4(7 + 6k) = 92 4k + (7 * -4 + 6k * -4) = 92 4k + (-28 + -24k) = 92 Reorder the terms: -28 + 4k + -24k = 92 Combine like terms: 4k + -24k = -20k -28 + -20k = 92 Solving -28 + -20k = 92 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '28' to each side of the equation. -28 + 28 + -20k = 92 + 28 Combine like terms: -28 + 28 = 0 0 + -20k = 92 + 28 -20k = 92 + 28 Combine like terms: 92 + 28 = 120 -20k = 120 Divide each side by '-20'. k = -6 Simplifying k = -6
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