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Simplifying -94 = -6 + 8(k + -3) Reorder the terms: -94 = -6 + 8(-3 + k) -94 = -6 + (-3 * 8 + k * 8) -94 = -6 + (-24 + 8k) Combine like terms: -6 + -24 = -30 -94 = -30 + 8k Solving -94 = -30 + 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. -94 + -8k = -30 + 8k + -8k Combine like terms: 8k + -8k = 0 -94 + -8k = -30 + 0 -94 + -8k = -30 Add '94' to each side of the equation. -94 + 94 + -8k = -30 + 94 Combine like terms: -94 + 94 = 0 0 + -8k = -30 + 94 -8k = -30 + 94 Combine like terms: -30 + 94 = 64 -8k = 64 Divide each side by '-8'. k = -8 Simplifying k = -8
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