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Simplifying -7v(2f + 6) = 31 Reorder the terms: -7v(6 + 2f) = 31 (6 * -7v + 2f * -7v) = 31 Reorder the terms: (-14fv + -42v) = 31 (-14fv + -42v) = 31 Solving -14fv + -42v = 31 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '42v' to each side of the equation. -14fv + -42v + 42v = 31 + 42v Combine like terms: -42v + 42v = 0 -14fv + 0 = 31 + 42v -14fv = 31 + 42v Divide each side by '-14v'. f = -2.214285714v-1 + -3 Simplifying f = -2.214285714v-1 + -3 Reorder the terms: f = -3 + -2.214285714v-1
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