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Simplifying 3(3k + -5) = 4(3k + -1) + -17 Reorder the terms: 3(-5 + 3k) = 4(3k + -1) + -17 (-5 * 3 + 3k * 3) = 4(3k + -1) + -17 (-15 + 9k) = 4(3k + -1) + -17 Reorder the terms: -15 + 9k = 4(-1 + 3k) + -17 -15 + 9k = (-1 * 4 + 3k * 4) + -17 -15 + 9k = (-4 + 12k) + -17 Reorder the terms: -15 + 9k = -4 + -17 + 12k Combine like terms: -4 + -17 = -21 -15 + 9k = -21 + 12k Solving -15 + 9k = -21 + 12k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-12k' to each side of the equation. -15 + 9k + -12k = -21 + 12k + -12k Combine like terms: 9k + -12k = -3k -15 + -3k = -21 + 12k + -12k Combine like terms: 12k + -12k = 0 -15 + -3k = -21 + 0 -15 + -3k = -21 Add '15' to each side of the equation. -15 + 15 + -3k = -21 + 15 Combine like terms: -15 + 15 = 0 0 + -3k = -21 + 15 -3k = -21 + 15 Combine like terms: -21 + 15 = -6 -3k = -6 Divide each side by '-3'. k = 2 Simplifying k = 2
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