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Simplifying 8(10 + -6) = 2k Combine like terms: 10 + -6 = 4 8(4) = 2k Multiply 8 * 4 32 = 2k Solving 32 = 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. 32 + -2k = 2k + -2k Combine like terms: 2k + -2k = 0 32 + -2k = 0 Add '-32' to each side of the equation. 32 + -32 + -2k = 0 + -32 Combine like terms: 32 + -32 = 0 0 + -2k = 0 + -32 -2k = 0 + -32 Combine like terms: 0 + -32 = -32 -2k = -32 Divide each side by '-2'. k = 16 Simplifying k = 16
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