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Simplifying 3(1 + -4k) = 0.5(-24k + 6) (1 * 3 + -4k * 3) = 0.5(-24k + 6) (3 + -12k) = 0.5(-24k + 6) Reorder the terms: 3 + -12k = 0.5(6 + -24k) 3 + -12k = (6 * 0.5 + -24k * 0.5) 3 + -12k = (3 + -12k) Add '-3' to each side of the equation. 3 + -3 + -12k = 3 + -3 + -12k Combine like terms: 3 + -3 = 0 0 + -12k = 3 + -3 + -12k -12k = 3 + -3 + -12k Combine like terms: 3 + -3 = 0 -12k = 0 + -12k -12k = -12k Add '12k' to each side of the equation. -12k + 12k = -12k + 12k Combine like terms: -12k + 12k = 0 0 = -12k + 12k Combine like terms: -12k + 12k = 0 0 = 0 Solving 0 = 0 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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