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Simplifying 5k + -14 = 6(4k + 4) Reorder the terms: -14 + 5k = 6(4k + 4) Reorder the terms: -14 + 5k = 6(4 + 4k) -14 + 5k = (4 * 6 + 4k * 6) -14 + 5k = (24 + 24k) Solving -14 + 5k = 24 + 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 + 5k + -24k = 24 + 24k + -24k Combine like terms: 5k + -24k = -19k -14 + -19k = 24 + 24k + -24k Combine like terms: 24k + -24k = 0 -14 + -19k = 24 + 0 -14 + -19k = 24 Add '14' to each side of the equation. -14 + 14 + -19k = 24 + 14 Combine like terms: -14 + 14 = 0 0 + -19k = 24 + 14 -19k = 24 + 14 Combine like terms: 24 + 14 = 38 -19k = 38 Divide each side by '-19'. k = -2 Simplifying k = -2
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