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Simplifying -4(2k + 3) = 6k + -5 Reorder the terms: -4(3 + 2k) = 6k + -5 (3 * -4 + 2k * -4) = 6k + -5 (-12 + -8k) = 6k + -5 Reorder the terms: -12 + -8k = -5 + 6k Solving -12 + -8k = -5 + 6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-6k' to each side of the equation. -12 + -8k + -6k = -5 + 6k + -6k Combine like terms: -8k + -6k = -14k -12 + -14k = -5 + 6k + -6k Combine like terms: 6k + -6k = 0 -12 + -14k = -5 + 0 -12 + -14k = -5 Add '12' to each side of the equation. -12 + 12 + -14k = -5 + 12 Combine like terms: -12 + 12 = 0 0 + -14k = -5 + 12 -14k = -5 + 12 Combine like terms: -5 + 12 = 7 -14k = 7 Divide each side by '-14'. k = -0.5 Simplifying k = -0.5
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