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Simplifying 9(2k + -4) + -2(7f + -12) = 0 Reorder the terms: 9(-4 + 2k) + -2(7f + -12) = 0 (-4 * 9 + 2k * 9) + -2(7f + -12) = 0 (-36 + 18k) + -2(7f + -12) = 0 Reorder the terms: -36 + 18k + -2(-12 + 7f) = 0 -36 + 18k + (-12 * -2 + 7f * -2) = 0 -36 + 18k + (24 + -14f) = 0 Reorder the terms: -36 + 24 + -14f + 18k = 0 Combine like terms: -36 + 24 = -12 -12 + -14f + 18k = 0 Solving -12 + -14f + 18k = 0 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '12' to each side of the equation. -12 + -14f + 12 + 18k = 0 + 12 Reorder the terms: -12 + 12 + -14f + 18k = 0 + 12 Combine like terms: -12 + 12 = 0 0 + -14f + 18k = 0 + 12 -14f + 18k = 0 + 12 Combine like terms: 0 + 12 = 12 -14f + 18k = 12 Add '-18k' to each side of the equation. -14f + 18k + -18k = 12 + -18k Combine like terms: 18k + -18k = 0 -14f + 0 = 12 + -18k -14f = 12 + -18k Divide each side by '-14'. f = -0.8571428571 + 1.285714286k Simplifying f = -0.8571428571 + 1.285714286k
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