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Simplifying -2(k + -1) * 7 + 8(1 + r) = 0 Reorder the terms: -2(-1 + k) * 7 + 8(1 + r) = 0 Reorder the terms for easier multiplication: -2 * 7(-1 + k) + 8(1 + r) = 0 Multiply -2 * 7 -14(-1 + k) + 8(1 + r) = 0 (-1 * -14 + k * -14) + 8(1 + r) = 0 (14 + -14k) + 8(1 + r) = 0 14 + -14k + (1 * 8 + r * 8) = 0 14 + -14k + (8 + 8r) = 0 Reorder the terms: 14 + 8 + -14k + 8r = 0 Combine like terms: 14 + 8 = 22 22 + -14k + 8r = 0 Solving 22 + -14k + 8r = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -14k + -22 + 8r = 0 + -22 Reorder the terms: 22 + -22 + -14k + 8r = 0 + -22 Combine like terms: 22 + -22 = 0 0 + -14k + 8r = 0 + -22 -14k + 8r = 0 + -22 Combine like terms: 0 + -22 = -22 -14k + 8r = -22 Add '-8r' to each side of the equation. -14k + 8r + -8r = -22 + -8r Combine like terms: 8r + -8r = 0 -14k + 0 = -22 + -8r -14k = -22 + -8r Divide each side by '-14'. k = 1.571428571 + 0.5714285714r Simplifying k = 1.571428571 + 0.5714285714r
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