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Simplifying 2k + -30 = -2(6k + 8) Reorder the terms: -30 + 2k = -2(6k + 8) Reorder the terms: -30 + 2k = -2(8 + 6k) -30 + 2k = (8 * -2 + 6k * -2) -30 + 2k = (-16 + -12k) Solving -30 + 2k = -16 + -12k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '12k' to each side of the equation. -30 + 2k + 12k = -16 + -12k + 12k Combine like terms: 2k + 12k = 14k -30 + 14k = -16 + -12k + 12k Combine like terms: -12k + 12k = 0 -30 + 14k = -16 + 0 -30 + 14k = -16 Add '30' to each side of the equation. -30 + 30 + 14k = -16 + 30 Combine like terms: -30 + 30 = 0 0 + 14k = -16 + 30 14k = -16 + 30 Combine like terms: -16 + 30 = 14 14k = 14 Divide each side by '14'. k = 1 Simplifying k = 1
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