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Simplifying v * t = (v + -4)(t + 1) Multiply v * t tv = (v + -4)(t + 1) Reorder the terms: tv = (-4 + v)(t + 1) Reorder the terms: tv = (-4 + v)(1 + t) Multiply (-4 + v) * (1 + t) tv = (-4(1 + t) + v(1 + t)) tv = ((1 * -4 + t * -4) + v(1 + t)) tv = ((-4 + -4t) + v(1 + t)) tv = (-4 + -4t + (1 * v + t * v)) Reorder the terms: tv = (-4 + -4t + (tv + 1v)) tv = (-4 + -4t + (tv + 1v)) tv = (-4 + -4t + tv + 1v) Add '-1tv' to each side of the equation. tv + -1tv = -4 + -4t + tv + -1tv + 1v Combine like terms: tv + -1tv = 0 0 = -4 + -4t + tv + -1tv + 1v Combine like terms: tv + -1tv = 0 0 = -4 + -4t + 0 + 1v 0 = -4 + -4t + 1v Solving 0 = -4 + -4t + 1v Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '4t' to each side of the equation. 0 + 4t = -4 + -4t + 4t + 1v Remove the zero: 4t = -4 + -4t + 4t + 1v Combine like terms: -4t + 4t = 0 4t = -4 + 0 + 1v 4t = -4 + 1v Divide each side by '4'. t = -1 + 0.25v Simplifying t = -1 + 0.25v
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