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Simplifying -170 = 5k + -3(8k + 6) Reorder the terms: -170 = 5k + -3(6 + 8k) -170 = 5k + (6 * -3 + 8k * -3) -170 = 5k + (-18 + -24k) Reorder the terms: -170 = -18 + 5k + -24k Combine like terms: 5k + -24k = -19k -170 = -18 + -19k Solving -170 = -18 + -19k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '19k' to each side of the equation. -170 + 19k = -18 + -19k + 19k Combine like terms: -19k + 19k = 0 -170 + 19k = -18 + 0 -170 + 19k = -18 Add '170' to each side of the equation. -170 + 170 + 19k = -18 + 170 Combine like terms: -170 + 170 = 0 0 + 19k = -18 + 170 19k = -18 + 170 Combine like terms: -18 + 170 = 152 19k = 152 Divide each side by '19'. k = 8 Simplifying k = 8
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