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Simplifying 3(2k + -4) + 3 = -5k + -2(k + 4) Reorder the terms: 3(-4 + 2k) + 3 = -5k + -2(k + 4) (-4 * 3 + 2k * 3) + 3 = -5k + -2(k + 4) (-12 + 6k) + 3 = -5k + -2(k + 4) Reorder the terms: -12 + 3 + 6k = -5k + -2(k + 4) Combine like terms: -12 + 3 = -9 -9 + 6k = -5k + -2(k + 4) Reorder the terms: -9 + 6k = -5k + -2(4 + k) -9 + 6k = -5k + (4 * -2 + k * -2) -9 + 6k = -5k + (-8 + -2k) Reorder the terms: -9 + 6k = -8 + -5k + -2k Combine like terms: -5k + -2k = -7k -9 + 6k = -8 + -7k Solving -9 + 6k = -8 + -7k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '7k' to each side of the equation. -9 + 6k + 7k = -8 + -7k + 7k Combine like terms: 6k + 7k = 13k -9 + 13k = -8 + -7k + 7k Combine like terms: -7k + 7k = 0 -9 + 13k = -8 + 0 -9 + 13k = -8 Add '9' to each side of the equation. -9 + 9 + 13k = -8 + 9 Combine like terms: -9 + 9 = 0 0 + 13k = -8 + 9 13k = -8 + 9 Combine like terms: -8 + 9 = 1 13k = 1 Divide each side by '13'. k = 0.07692307692 Simplifying k = 0.07692307692
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