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Simplifying 93 = 4(1 + 3k) + 5 93 = (1 * 4 + 3k * 4) + 5 93 = (4 + 12k) + 5 Reorder the terms: 93 = 4 + 5 + 12k Combine like terms: 4 + 5 = 9 93 = 9 + 12k Solving 93 = 9 + 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. 93 + -12k = 9 + 12k + -12k Combine like terms: 12k + -12k = 0 93 + -12k = 9 + 0 93 + -12k = 9 Add '-93' to each side of the equation. 93 + -93 + -12k = 9 + -93 Combine like terms: 93 + -93 = 0 0 + -12k = 9 + -93 -12k = 9 + -93 Combine like terms: 9 + -93 = -84 -12k = -84 Divide each side by '-12'. k = 7 Simplifying k = 7
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