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Simplifying -3 + -3(4k + 2) = -1(4k + 3) Reorder the terms: -3 + -3(2 + 4k) = -1(4k + 3) -3 + (2 * -3 + 4k * -3) = -1(4k + 3) -3 + (-6 + -12k) = -1(4k + 3) Combine like terms: -3 + -6 = -9 -9 + -12k = -1(4k + 3) Reorder the terms: -9 + -12k = -1(3 + 4k) -9 + -12k = (3 * -1 + 4k * -1) -9 + -12k = (-3 + -4k) Solving -9 + -12k = -3 + -4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '4k' to each side of the equation. -9 + -12k + 4k = -3 + -4k + 4k Combine like terms: -12k + 4k = -8k -9 + -8k = -3 + -4k + 4k Combine like terms: -4k + 4k = 0 -9 + -8k = -3 + 0 -9 + -8k = -3 Add '9' to each side of the equation. -9 + 9 + -8k = -3 + 9 Combine like terms: -9 + 9 = 0 0 + -8k = -3 + 9 -8k = -3 + 9 Combine like terms: -3 + 9 = 6 -8k = 6 Divide each side by '-8'. k = -0.75 Simplifying k = -0.75
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