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Simplifying -98 = 7(1 + 3k) -98 = (1 * 7 + 3k * 7) -98 = (7 + 21k) Solving -98 = 7 + 21k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-21k' to each side of the equation. -98 + -21k = 7 + 21k + -21k Combine like terms: 21k + -21k = 0 -98 + -21k = 7 + 0 -98 + -21k = 7 Add '98' to each side of the equation. -98 + 98 + -21k = 7 + 98 Combine like terms: -98 + 98 = 0 0 + -21k = 7 + 98 -21k = 7 + 98 Combine like terms: 7 + 98 = 105 -21k = 105 Divide each side by '-21'. k = -5 Simplifying k = -5
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