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Simplifying 7v + -4(1 + 4r) = 0 7v + (1 * -4 + 4r * -4) = 0 7v + (-4 + -16r) = 0 Reorder the terms: -4 + -16r + 7v = 0 Solving -4 + -16r + 7v = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '4' to each side of the equation. -4 + -16r + 4 + 7v = 0 + 4 Reorder the terms: -4 + 4 + -16r + 7v = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -16r + 7v = 0 + 4 -16r + 7v = 0 + 4 Combine like terms: 0 + 4 = 4 -16r + 7v = 4 Add '-7v' to each side of the equation. -16r + 7v + -7v = 4 + -7v Combine like terms: 7v + -7v = 0 -16r + 0 = 4 + -7v -16r = 4 + -7v Divide each side by '-16'. r = -0.25 + 0.4375v Simplifying r = -0.25 + 0.4375v
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