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Simplifying -122 = 8(1 + 3k) -122 = (1 * 8 + 3k * 8) -122 = (8 + 24k) Solving -122 = 8 + 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. -122 + -24k = 8 + 24k + -24k Combine like terms: 24k + -24k = 0 -122 + -24k = 8 + 0 -122 + -24k = 8 Add '122' to each side of the equation. -122 + 122 + -24k = 8 + 122 Combine like terms: -122 + 122 = 0 0 + -24k = 8 + 122 -24k = 8 + 122 Combine like terms: 8 + 122 = 130 -24k = 130 Divide each side by '-24'. k = -5.416666667 Simplifying k = -5.416666667
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