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Simplifying 163 = 4x + 3(1 + -8k) 163 = 4x + (1 * 3 + -8k * 3) 163 = 4x + (3 + -24k) Reorder the terms: 163 = 3 + -24k + 4x Solving 163 = 3 + -24k + 4x Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '24k' to each side of the equation. 163 + 24k = 3 + -24k + 24k + 4x Combine like terms: -24k + 24k = 0 163 + 24k = 3 + 0 + 4x 163 + 24k = 3 + 4x Add '-163' to each side of the equation. 163 + -163 + 24k = 3 + -163 + 4x Combine like terms: 163 + -163 = 0 0 + 24k = 3 + -163 + 4x 24k = 3 + -163 + 4x Combine like terms: 3 + -163 = -160 24k = -160 + 4x Divide each side by '24'. k = -6.666666667 + 0.1666666667x Simplifying k = -6.666666667 + 0.1666666667x
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