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Simplifying -1 + -3(5k + 7) = -3k + 38 Reorder the terms: -1 + -3(7 + 5k) = -3k + 38 -1 + (7 * -3 + 5k * -3) = -3k + 38 -1 + (-21 + -15k) = -3k + 38 Combine like terms: -1 + -21 = -22 -22 + -15k = -3k + 38 Reorder the terms: -22 + -15k = 38 + -3k Solving -22 + -15k = 38 + -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. -22 + -15k + 3k = 38 + -3k + 3k Combine like terms: -15k + 3k = -12k -22 + -12k = 38 + -3k + 3k Combine like terms: -3k + 3k = 0 -22 + -12k = 38 + 0 -22 + -12k = 38 Add '22' to each side of the equation. -22 + 22 + -12k = 38 + 22 Combine like terms: -22 + 22 = 0 0 + -12k = 38 + 22 -12k = 38 + 22 Combine like terms: 38 + 22 = 60 -12k = 60 Divide each side by '-12'. k = -5 Simplifying k = -5
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