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Simplifying 5(v + -3) = 5v + 1 + -2(-5v + -1) Reorder the terms: 5(-3 + v) = 5v + 1 + -2(-5v + -1) (-3 * 5 + v * 5) = 5v + 1 + -2(-5v + -1) (-15 + 5v) = 5v + 1 + -2(-5v + -1) Reorder the terms: -15 + 5v = 5v + 1 + -2(-1 + -5v) -15 + 5v = 5v + 1 + (-1 * -2 + -5v * -2) -15 + 5v = 5v + 1 + (2 + 10v) Reorder the terms: -15 + 5v = 1 + 2 + 5v + 10v Combine like terms: 1 + 2 = 3 -15 + 5v = 3 + 5v + 10v Combine like terms: 5v + 10v = 15v -15 + 5v = 3 + 15v Solving -15 + 5v = 3 + 15v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-15v' to each side of the equation. -15 + 5v + -15v = 3 + 15v + -15v Combine like terms: 5v + -15v = -10v -15 + -10v = 3 + 15v + -15v Combine like terms: 15v + -15v = 0 -15 + -10v = 3 + 0 -15 + -10v = 3 Add '15' to each side of the equation. -15 + 15 + -10v = 3 + 15 Combine like terms: -15 + 15 = 0 0 + -10v = 3 + 15 -10v = 3 + 15 Combine like terms: 3 + 15 = 18 -10v = 18 Divide each side by '-10'. v = -1.8 Simplifying v = -1.8
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