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Simplifying 4(4v + 5) + -16(v + -5) = -1v + 6(v + 10) Reorder the terms: 4(5 + 4v) + -16(v + -5) = -1v + 6(v + 10) (5 * 4 + 4v * 4) + -16(v + -5) = -1v + 6(v + 10) (20 + 16v) + -16(v + -5) = -1v + 6(v + 10) Reorder the terms: 20 + 16v + -16(-5 + v) = -1v + 6(v + 10) 20 + 16v + (-5 * -16 + v * -16) = -1v + 6(v + 10) 20 + 16v + (80 + -16v) = -1v + 6(v + 10) Reorder the terms: 20 + 80 + 16v + -16v = -1v + 6(v + 10) Combine like terms: 20 + 80 = 100 100 + 16v + -16v = -1v + 6(v + 10) Combine like terms: 16v + -16v = 0 100 + 0 = -1v + 6(v + 10) 100 = -1v + 6(v + 10) Reorder the terms: 100 = -1v + 6(10 + v) 100 = -1v + (10 * 6 + v * 6) 100 = -1v + (60 + 6v) Reorder the terms: 100 = 60 + -1v + 6v Combine like terms: -1v + 6v = 5v 100 = 60 + 5v Solving 100 = 60 + 5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-5v' to each side of the equation. 100 + -5v = 60 + 5v + -5v Combine like terms: 5v + -5v = 0 100 + -5v = 60 + 0 100 + -5v = 60 Add '-100' to each side of the equation. 100 + -100 + -5v = 60 + -100 Combine like terms: 100 + -100 = 0 0 + -5v = 60 + -100 -5v = 60 + -100 Combine like terms: 60 + -100 = -40 -5v = -40 Divide each side by '-5'. v = 8 Simplifying v = 8
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