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Simplifying 4(7k + -5) = 6(4k + -2) Reorder the terms: 4(-5 + 7k) = 6(4k + -2) (-5 * 4 + 7k * 4) = 6(4k + -2) (-20 + 28k) = 6(4k + -2) Reorder the terms: -20 + 28k = 6(-2 + 4k) -20 + 28k = (-2 * 6 + 4k * 6) -20 + 28k = (-12 + 24k) Solving -20 + 28k = -12 + 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. -20 + 28k + -24k = -12 + 24k + -24k Combine like terms: 28k + -24k = 4k -20 + 4k = -12 + 24k + -24k Combine like terms: 24k + -24k = 0 -20 + 4k = -12 + 0 -20 + 4k = -12 Add '20' to each side of the equation. -20 + 20 + 4k = -12 + 20 Combine like terms: -20 + 20 = 0 0 + 4k = -12 + 20 4k = -12 + 20 Combine like terms: -12 + 20 = 8 4k = 8 Divide each side by '4'. k = 2 Simplifying k = 2
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