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Simplifying -4(4k + 6) = -3k + 2 Reorder the terms: -4(6 + 4k) = -3k + 2 (6 * -4 + 4k * -4) = -3k + 2 (-24 + -16k) = -3k + 2 Reorder the terms: -24 + -16k = 2 + -3k Solving -24 + -16k = 2 + -3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '3k' to each side of the equation. -24 + -16k + 3k = 2 + -3k + 3k Combine like terms: -16k + 3k = -13k -24 + -13k = 2 + -3k + 3k Combine like terms: -3k + 3k = 0 -24 + -13k = 2 + 0 -24 + -13k = 2 Add '24' to each side of the equation. -24 + 24 + -13k = 2 + 24 Combine like terms: -24 + 24 = 0 0 + -13k = 2 + 24 -13k = 2 + 24 Combine like terms: 2 + 24 = 26 -13k = 26 Divide each side by '-13'. k = -2 Simplifying k = -2
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