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Simplifying 8(3x + 4) + 5(7x + -8) + 2k = 0 Reorder the terms: 8(4 + 3x) + 5(7x + -8) + 2k = 0 (4 * 8 + 3x * 8) + 5(7x + -8) + 2k = 0 (32 + 24x) + 5(7x + -8) + 2k = 0 Reorder the terms: 32 + 24x + 5(-8 + 7x) + 2k = 0 32 + 24x + (-8 * 5 + 7x * 5) + 2k = 0 32 + 24x + (-40 + 35x) + 2k = 0 Reorder the terms: 32 + -40 + 2k + 24x + 35x = 0 Combine like terms: 32 + -40 = -8 -8 + 2k + 24x + 35x = 0 Combine like terms: 24x + 35x = 59x -8 + 2k + 59x = 0 Solving -8 + 2k + 59x = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 2k + 8 + 59x = 0 + 8 Reorder the terms: -8 + 8 + 2k + 59x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 2k + 59x = 0 + 8 2k + 59x = 0 + 8 Combine like terms: 0 + 8 = 8 2k + 59x = 8 Add '-59x' to each side of the equation. 2k + 59x + -59x = 8 + -59x Combine like terms: 59x + -59x = 0 2k + 0 = 8 + -59x 2k = 8 + -59x Divide each side by '2'. k = 4 + -29.5x Simplifying k = 4 + -29.5x
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