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Simplifying -20 + -8k = -7(1 + 3k) -20 + -8k = (1 * -7 + 3k * -7) -20 + -8k = (-7 + -21k) Solving -20 + -8k = -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. -20 + -8k + 21k = -7 + -21k + 21k Combine like terms: -8k + 21k = 13k -20 + 13k = -7 + -21k + 21k Combine like terms: -21k + 21k = 0 -20 + 13k = -7 + 0 -20 + 13k = -7 Add '20' to each side of the equation. -20 + 20 + 13k = -7 + 20 Combine like terms: -20 + 20 = 0 0 + 13k = -7 + 20 13k = -7 + 20 Combine like terms: -7 + 20 = 13 13k = 13 Divide each side by '13'. k = 1 Simplifying k = 1
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