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Simplifying -46 + 2(5k + -6) = -3k + -39 Reorder the terms: -46 + 2(-6 + 5k) = -3k + -39 -46 + (-6 * 2 + 5k * 2) = -3k + -39 -46 + (-12 + 10k) = -3k + -39 Combine like terms: -46 + -12 = -58 -58 + 10k = -3k + -39 Reorder the terms: -58 + 10k = -39 + -3k Solving -58 + 10k = -39 + -3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '3k' to each side of the equation. -58 + 10k + 3k = -39 + -3k + 3k Combine like terms: 10k + 3k = 13k -58 + 13k = -39 + -3k + 3k Combine like terms: -3k + 3k = 0 -58 + 13k = -39 + 0 -58 + 13k = -39 Add '58' to each side of the equation. -58 + 58 + 13k = -39 + 58 Combine like terms: -58 + 58 = 0 0 + 13k = -39 + 58 13k = -39 + 58 Combine like terms: -39 + 58 = 19 13k = 19 Divide each side by '13'. k = 1.461538462 Simplifying k = 1.461538462
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