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Simplifying 170 = -8(2 + 4k) + k 170 = (2 * -8 + 4k * -8) + k 170 = (-16 + -32k) + k Combine like terms: -32k + k = -31k 170 = -16 + -31k Solving 170 = -16 + -31k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '31k' to each side of the equation. 170 + 31k = -16 + -31k + 31k Combine like terms: -31k + 31k = 0 170 + 31k = -16 + 0 170 + 31k = -16 Add '-170' to each side of the equation. 170 + -170 + 31k = -16 + -170 Combine like terms: 170 + -170 = 0 0 + 31k = -16 + -170 31k = -16 + -170 Combine like terms: -16 + -170 = -186 31k = -186 Divide each side by '31'. k = -6 Simplifying k = -6
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