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Simplifying -30 + -4k = -5k + 2(-6 + -4k) -30 + -4k = -5k + (-6 * 2 + -4k * 2) -30 + -4k = -5k + (-12 + -8k) Reorder the terms: -30 + -4k = -12 + -5k + -8k Combine like terms: -5k + -8k = -13k -30 + -4k = -12 + -13k Solving -30 + -4k = -12 + -13k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '13k' to each side of the equation. -30 + -4k + 13k = -12 + -13k + 13k Combine like terms: -4k + 13k = 9k -30 + 9k = -12 + -13k + 13k Combine like terms: -13k + 13k = 0 -30 + 9k = -12 + 0 -30 + 9k = -12 Add '30' to each side of the equation. -30 + 30 + 9k = -12 + 30 Combine like terms: -30 + 30 = 0 0 + 9k = -12 + 30 9k = -12 + 30 Combine like terms: -12 + 30 = 18 9k = 18 Divide each side by '9'. k = 2 Simplifying k = 2
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