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Simplifying k + 4(2k + -7) = -100 Reorder the terms: k + 4(-7 + 2k) = -100 k + (-7 * 4 + 2k * 4) = -100 k + (-28 + 8k) = -100 Reorder the terms: -28 + k + 8k = -100 Combine like terms: k + 8k = 9k -28 + 9k = -100 Solving -28 + 9k = -100 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '28' to each side of the equation. -28 + 28 + 9k = -100 + 28 Combine like terms: -28 + 28 = 0 0 + 9k = -100 + 28 9k = -100 + 28 Combine like terms: -100 + 28 = -72 9k = -72 Divide each side by '9'. k = -8 Simplifying k = -8
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