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Simplifying -138 = -8 + -10(k + 3) Reorder the terms: -138 = -8 + -10(3 + k) -138 = -8 + (3 * -10 + k * -10) -138 = -8 + (-30 + -10k) Combine like terms: -8 + -30 = -38 -138 = -38 + -10k Solving -138 = -38 + -10k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '10k' to each side of the equation. -138 + 10k = -38 + -10k + 10k Combine like terms: -10k + 10k = 0 -138 + 10k = -38 + 0 -138 + 10k = -38 Add '138' to each side of the equation. -138 + 138 + 10k = -38 + 138 Combine like terms: -138 + 138 = 0 0 + 10k = -38 + 138 10k = -38 + 138 Combine like terms: -38 + 138 = 100 10k = 100 Divide each side by '10'. k = 10 Simplifying k = 10
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