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Simplifying -170 = 1 + -3(1 + 8k) -170 = 1 + (1 * -3 + 8k * -3) -170 = 1 + (-3 + -24k) Combine like terms: 1 + -3 = -2 -170 = -2 + -24k Solving -170 = -2 + -24k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '24k' to each side of the equation. -170 + 24k = -2 + -24k + 24k Combine like terms: -24k + 24k = 0 -170 + 24k = -2 + 0 -170 + 24k = -2 Add '170' to each side of the equation. -170 + 170 + 24k = -2 + 170 Combine like terms: -170 + 170 = 0 0 + 24k = -2 + 170 24k = -2 + 170 Combine like terms: -2 + 170 = 168 24k = 168 Divide each side by '24'. k = 7 Simplifying k = 7
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