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Simplifying -91 = k + 3(3k + -7) Reorder the terms: -91 = k + 3(-7 + 3k) -91 = k + (-7 * 3 + 3k * 3) -91 = k + (-21 + 9k) Reorder the terms: -91 = -21 + k + 9k Combine like terms: k + 9k = 10k -91 = -21 + 10k Solving -91 = -21 + 10k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-10k' to each side of the equation. -91 + -10k = -21 + 10k + -10k Combine like terms: 10k + -10k = 0 -91 + -10k = -21 + 0 -91 + -10k = -21 Add '91' to each side of the equation. -91 + 91 + -10k = -21 + 91 Combine like terms: -91 + 91 = 0 0 + -10k = -21 + 91 -10k = -21 + 91 Combine like terms: -21 + 91 = 70 -10k = 70 Divide each side by '-10'. k = -7 Simplifying k = -7
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