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Simplifying -3k + 14 = 4(6k + -10) Reorder the terms: 14 + -3k = 4(6k + -10) Reorder the terms: 14 + -3k = 4(-10 + 6k) 14 + -3k = (-10 * 4 + 6k * 4) 14 + -3k = (-40 + 24k) Solving 14 + -3k = -40 + 24k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-24k' to each side of the equation. 14 + -3k + -24k = -40 + 24k + -24k Combine like terms: -3k + -24k = -27k 14 + -27k = -40 + 24k + -24k Combine like terms: 24k + -24k = 0 14 + -27k = -40 + 0 14 + -27k = -40 Add '-14' to each side of the equation. 14 + -14 + -27k = -40 + -14 Combine like terms: 14 + -14 = 0 0 + -27k = -40 + -14 -27k = -40 + -14 Combine like terms: -40 + -14 = -54 -27k = -54 Divide each side by '-27'. k = 2 Simplifying k = 2
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