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Simplifying 7 + v(-0.375 + 0.875s) = 6 + v 7 + (-0.375 * v + 0.875s * v) = 6 + v Reorder the terms: 7 + (0.875sv + -0.375v) = 6 + v 7 + (0.875sv + -0.375v) = 6 + v Solving 7 + 0.875sv + -0.375v = 6 + v Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + 0.875sv + -7 + -0.375v = 6 + -7 + v Reorder the terms: 7 + -7 + 0.875sv + -0.375v = 6 + -7 + v Combine like terms: 7 + -7 = 0 0 + 0.875sv + -0.375v = 6 + -7 + v 0.875sv + -0.375v = 6 + -7 + v Combine like terms: 6 + -7 = -1 0.875sv + -0.375v = -1 + v Add '0.375v' to each side of the equation. 0.875sv + -0.375v + 0.375v = -1 + v + 0.375v Combine like terms: -0.375v + 0.375v = 0.000 0.875sv + 0.000 = -1 + v + 0.375v 0.875sv = -1 + v + 0.375v Combine like terms: v + 0.375v = 1.375v 0.875sv = -1 + 1.375v Divide each side by '0.875v'. s = -1.142857143v-1 + 1.571428571 Simplifying s = -1.142857143v-1 + 1.571428571 Reorder the terms: s = 1.571428571 + -1.142857143v-1
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