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Simplifying 6(x + 2) + -1(4k + -7) = 0 Reorder the terms: 6(2 + x) + -1(4k + -7) = 0 (2 * 6 + x * 6) + -1(4k + -7) = 0 (12 + 6x) + -1(4k + -7) = 0 Reorder the terms: 12 + 6x + -1(-7 + 4k) = 0 12 + 6x + (-7 * -1 + 4k * -1) = 0 12 + 6x + (7 + -4k) = 0 Reorder the terms: 12 + 7 + -4k + 6x = 0 Combine like terms: 12 + 7 = 19 19 + -4k + 6x = 0 Solving 19 + -4k + 6x = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -4k + -19 + 6x = 0 + -19 Reorder the terms: 19 + -19 + -4k + 6x = 0 + -19 Combine like terms: 19 + -19 = 0 0 + -4k + 6x = 0 + -19 -4k + 6x = 0 + -19 Combine like terms: 0 + -19 = -19 -4k + 6x = -19 Add '-6x' to each side of the equation. -4k + 6x + -6x = -19 + -6x Combine like terms: 6x + -6x = 0 -4k + 0 = -19 + -6x -4k = -19 + -6x Divide each side by '-4'. k = 4.75 + 1.5x Simplifying k = 4.75 + 1.5x
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