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Simplifying 3k + 3(8k + -7) = -102 Reorder the terms: 3k + 3(-7 + 8k) = -102 3k + (-7 * 3 + 8k * 3) = -102 3k + (-21 + 24k) = -102 Reorder the terms: -21 + 3k + 24k = -102 Combine like terms: 3k + 24k = 27k -21 + 27k = -102 Solving -21 + 27k = -102 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + 27k = -102 + 21 Combine like terms: -21 + 21 = 0 0 + 27k = -102 + 21 27k = -102 + 21 Combine like terms: -102 + 21 = -81 27k = -81 Divide each side by '27'. k = -3 Simplifying k = -3
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