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Simplifying 4(2k + -3) = 2(3k + -10) Reorder the terms: 4(-3 + 2k) = 2(3k + -10) (-3 * 4 + 2k * 4) = 2(3k + -10) (-12 + 8k) = 2(3k + -10) Reorder the terms: -12 + 8k = 2(-10 + 3k) -12 + 8k = (-10 * 2 + 3k * 2) -12 + 8k = (-20 + 6k) Solving -12 + 8k = -20 + 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 = -20 + 6k + -6k Combine like terms: 8k + -6k = 2k -12 + 2k = -20 + 6k + -6k Combine like terms: 6k + -6k = 0 -12 + 2k = -20 + 0 -12 + 2k = -20 Add '12' to each side of the equation. -12 + 12 + 2k = -20 + 12 Combine like terms: -12 + 12 = 0 0 + 2k = -20 + 12 2k = -20 + 12 Combine like terms: -20 + 12 = -8 2k = -8 Divide each side by '2'. k = -4 Simplifying k = -4
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