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Simplifying 99 = -8(k + -4) + 3 Reorder the terms: 99 = -8(-4 + k) + 3 99 = (-4 * -8 + k * -8) + 3 99 = (32 + -8k) + 3 Reorder the terms: 99 = 32 + 3 + -8k Combine like terms: 32 + 3 = 35 99 = 35 + -8k Solving 99 = 35 + -8k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '8k' to each side of the equation. 99 + 8k = 35 + -8k + 8k Combine like terms: -8k + 8k = 0 99 + 8k = 35 + 0 99 + 8k = 35 Add '-99' to each side of the equation. 99 + -99 + 8k = 35 + -99 Combine like terms: 99 + -99 = 0 0 + 8k = 35 + -99 8k = 35 + -99 Combine like terms: 35 + -99 = -64 8k = -64 Divide each side by '8'. k = -8 Simplifying k = -8
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