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Simplifying 38 + -6k = -7(1 + 3k) 38 + -6k = (1 * -7 + 3k * -7) 38 + -6k = (-7 + -21k) Solving 38 + -6k = -7 + -21k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '21k' to each side of the equation. 38 + -6k + 21k = -7 + -21k + 21k Combine like terms: -6k + 21k = 15k 38 + 15k = -7 + -21k + 21k Combine like terms: -21k + 21k = 0 38 + 15k = -7 + 0 38 + 15k = -7 Add '-38' to each side of the equation. 38 + -38 + 15k = -7 + -38 Combine like terms: 38 + -38 = 0 0 + 15k = -7 + -38 15k = -7 + -38 Combine like terms: -7 + -38 = -45 15k = -45 Divide each side by '15'. k = -3 Simplifying k = -3
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