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Simplifying 9 = 4(k + 1) + -3 Reorder the terms: 9 = 4(1 + k) + -3 9 = (1 * 4 + k * 4) + -3 9 = (4 + 4k) + -3 Reorder the terms: 9 = 4 + -3 + 4k Combine like terms: 4 + -3 = 1 9 = 1 + 4k Solving 9 = 1 + 4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-4k' to each side of the equation. 9 + -4k = 1 + 4k + -4k Combine like terms: 4k + -4k = 0 9 + -4k = 1 + 0 9 + -4k = 1 Add '-9' to each side of the equation. 9 + -9 + -4k = 1 + -9 Combine like terms: 9 + -9 = 0 0 + -4k = 1 + -9 -4k = 1 + -9 Combine like terms: 1 + -9 = -8 -4k = -8 Divide each side by '-4'. k = 2 Simplifying k = 2
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