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Simplifying -30 = 3 + 2(k + 8) Reorder the terms: -30 = 3 + 2(8 + k) -30 = 3 + (8 * 2 + k * 2) -30 = 3 + (16 + 2k) Combine like terms: 3 + 16 = 19 -30 = 19 + 2k Solving -30 = 19 + 2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2k' to each side of the equation. -30 + -2k = 19 + 2k + -2k Combine like terms: 2k + -2k = 0 -30 + -2k = 19 + 0 -30 + -2k = 19 Add '30' to each side of the equation. -30 + 30 + -2k = 19 + 30 Combine like terms: -30 + 30 = 0 0 + -2k = 19 + 30 -2k = 19 + 30 Combine like terms: 19 + 30 = 49 -2k = 49 Divide each side by '-2'. k = -24.5 Simplifying k = -24.5
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