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Simplifying 7(2f + -1) + -1(6f + -3) = 0 Reorder the terms: 7(-1 + 2f) + -1(6f + -3) = 0 (-1 * 7 + 2f * 7) + -1(6f + -3) = 0 (-7 + 14f) + -1(6f + -3) = 0 Reorder the terms: -7 + 14f + -1(-3 + 6f) = 0 -7 + 14f + (-3 * -1 + 6f * -1) = 0 -7 + 14f + (3 + -6f) = 0 Reorder the terms: -7 + 3 + 14f + -6f = 0 Combine like terms: -7 + 3 = -4 -4 + 14f + -6f = 0 Combine like terms: 14f + -6f = 8f -4 + 8f = 0 Solving -4 + 8f = 0 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 8f = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 8f = 0 + 4 8f = 0 + 4 Combine like terms: 0 + 4 = 4 8f = 4 Divide each side by '8'. f = 0.5 Simplifying f = 0.5
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