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Simplifying 7(-8 + 2k) + 5 = 8x + -33 (-8 * 7 + 2k * 7) + 5 = 8x + -33 (-56 + 14k) + 5 = 8x + -33 Reorder the terms: -56 + 5 + 14k = 8x + -33 Combine like terms: -56 + 5 = -51 -51 + 14k = 8x + -33 Reorder the terms: -51 + 14k = -33 + 8x Solving -51 + 14k = -33 + 8x Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '51' to each side of the equation. -51 + 51 + 14k = -33 + 51 + 8x Combine like terms: -51 + 51 = 0 0 + 14k = -33 + 51 + 8x 14k = -33 + 51 + 8x Combine like terms: -33 + 51 = 18 14k = 18 + 8x Divide each side by '14'. k = 1.285714286 + 0.5714285714x Simplifying k = 1.285714286 + 0.5714285714x
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