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Simplifying 5.3(v + -5) = 3(1 + 3.5v) + -2.98 Reorder the terms: 5.3(-5 + v) = 3(1 + 3.5v) + -2.98 (-5 * 5.3 + v * 5.3) = 3(1 + 3.5v) + -2.98 (-26.5 + 5.3v) = 3(1 + 3.5v) + -2.98 -26.5 + 5.3v = (1 * 3 + 3.5v * 3) + -2.98 -26.5 + 5.3v = (3 + 10.5v) + -2.98 Reorder the terms: -26.5 + 5.3v = 3 + -2.98 + 10.5v Combine like terms: 3 + -2.98 = 0.02 -26.5 + 5.3v = 0.02 + 10.5v Solving -26.5 + 5.3v = 0.02 + 10.5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-10.5v' to each side of the equation. -26.5 + 5.3v + -10.5v = 0.02 + 10.5v + -10.5v Combine like terms: 5.3v + -10.5v = -5.2v -26.5 + -5.2v = 0.02 + 10.5v + -10.5v Combine like terms: 10.5v + -10.5v = 0.0 -26.5 + -5.2v = 0.02 + 0.0 -26.5 + -5.2v = 0.02 Add '26.5' to each side of the equation. -26.5 + 26.5 + -5.2v = 0.02 + 26.5 Combine like terms: -26.5 + 26.5 = 0.0 0.0 + -5.2v = 0.02 + 26.5 -5.2v = 0.02 + 26.5 Combine like terms: 0.02 + 26.5 = 26.52 -5.2v = 26.52 Divide each side by '-5.2'. v = -5.1 Simplifying v = -5.1
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