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Simplifying -33 = 3 + -4(k + 1) Reorder the terms: -33 = 3 + -4(1 + k) -33 = 3 + (1 * -4 + k * -4) -33 = 3 + (-4 + -4k) Combine like terms: 3 + -4 = -1 -33 = -1 + -4k Solving -33 = -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. -33 + 4k = -1 + -4k + 4k Combine like terms: -4k + 4k = 0 -33 + 4k = -1 + 0 -33 + 4k = -1 Add '33' to each side of the equation. -33 + 33 + 4k = -1 + 33 Combine like terms: -33 + 33 = 0 0 + 4k = -1 + 33 4k = -1 + 33 Combine like terms: -1 + 33 = 32 4k = 32 Divide each side by '4'. k = 8 Simplifying k = 8
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