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Simplifying 5(-4.2 + 3v) + -3.8 = 1 + -1(3v + -10.2) (-4.2 * 5 + 3v * 5) + -3.8 = 1 + -1(3v + -10.2) (-21 + 15v) + -3.8 = 1 + -1(3v + -10.2) Reorder the terms: -21 + -3.8 + 15v = 1 + -1(3v + -10.2) Combine like terms: -21 + -3.8 = -24.8 -24.8 + 15v = 1 + -1(3v + -10.2) Reorder the terms: -24.8 + 15v = 1 + -1(-10.2 + 3v) -24.8 + 15v = 1 + (-10.2 * -1 + 3v * -1) -24.8 + 15v = 1 + (10.2 + -3v) Combine like terms: 1 + 10.2 = 11.2 -24.8 + 15v = 11.2 + -3v Solving -24.8 + 15v = 11.2 + -3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '3v' to each side of the equation. -24.8 + 15v + 3v = 11.2 + -3v + 3v Combine like terms: 15v + 3v = 18v -24.8 + 18v = 11.2 + -3v + 3v Combine like terms: -3v + 3v = 0 -24.8 + 18v = 11.2 + 0 -24.8 + 18v = 11.2 Add '24.8' to each side of the equation. -24.8 + 24.8 + 18v = 11.2 + 24.8 Combine like terms: -24.8 + 24.8 = 0.0 0.0 + 18v = 11.2 + 24.8 18v = 11.2 + 24.8 Combine like terms: 11.2 + 24.8 = 36 18v = 36 Divide each side by '18'. v = 2 Simplifying v = 2
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