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Simplifying (3k + -5) = 4(3k + -1) Reorder the terms: (-5 + 3k) = 4(3k + -1) Remove parenthesis around (-5 + 3k) -5 + 3k = 4(3k + -1) Reorder the terms: -5 + 3k = 4(-1 + 3k) -5 + 3k = (-1 * 4 + 3k * 4) -5 + 3k = (-4 + 12k) Solving -5 + 3k = -4 + 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. -5 + 3k + -12k = -4 + 12k + -12k Combine like terms: 3k + -12k = -9k -5 + -9k = -4 + 12k + -12k Combine like terms: 12k + -12k = 0 -5 + -9k = -4 + 0 -5 + -9k = -4 Add '5' to each side of the equation. -5 + 5 + -9k = -4 + 5 Combine like terms: -5 + 5 = 0 0 + -9k = -4 + 5 -9k = -4 + 5 Combine like terms: -4 + 5 = 1 -9k = 1 Divide each side by '-9'. k = -0.1111111111 Simplifying k = -0.1111111111
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