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Simplifying -170 = -2 + -8(1 + -5k) -170 = -2 + (1 * -8 + -5k * -8) -170 = -2 + (-8 + 40k) Combine like terms: -2 + -8 = -10 -170 = -10 + 40k Solving -170 = -10 + 40k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-40k' to each side of the equation. -170 + -40k = -10 + 40k + -40k Combine like terms: 40k + -40k = 0 -170 + -40k = -10 + 0 -170 + -40k = -10 Add '170' to each side of the equation. -170 + 170 + -40k = -10 + 170 Combine like terms: -170 + 170 = 0 0 + -40k = -10 + 170 -40k = -10 + 170 Combine like terms: -10 + 170 = 160 -40k = 160 Divide each side by '-40'. k = -4 Simplifying k = -4
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