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Simplifying -20 + 9k = 9 + -4(k + 4) Reorder the terms: -20 + 9k = 9 + -4(4 + k) -20 + 9k = 9 + (4 * -4 + k * -4) -20 + 9k = 9 + (-16 + -4k) Combine like terms: 9 + -16 = -7 -20 + 9k = -7 + -4k Solving -20 + 9k = -7 + -4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '4k' to each side of the equation. -20 + 9k + 4k = -7 + -4k + 4k Combine like terms: 9k + 4k = 13k -20 + 13k = -7 + -4k + 4k Combine like terms: -4k + 4k = 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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