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Simplifying 2.3(-2.8 + 1.49v) + 1.8 = 66.0881 + -1.4v (-2.8 * 2.3 + 1.49v * 2.3) + 1.8 = 66.0881 + -1.4v (-6.44 + 3.427v) + 1.8 = 66.0881 + -1.4v Reorder the terms: -6.44 + 1.8 + 3.427v = 66.0881 + -1.4v Combine like terms: -6.44 + 1.8 = -4.64 -4.64 + 3.427v = 66.0881 + -1.4v Solving -4.64 + 3.427v = 66.0881 + -1.4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '1.4v' to each side of the equation. -4.64 + 3.427v + 1.4v = 66.0881 + -1.4v + 1.4v Combine like terms: 3.427v + 1.4v = 4.827v -4.64 + 4.827v = 66.0881 + -1.4v + 1.4v Combine like terms: -1.4v + 1.4v = 0.0 -4.64 + 4.827v = 66.0881 + 0.0 -4.64 + 4.827v = 66.0881 Add '4.64' to each side of the equation. -4.64 + 4.64 + 4.827v = 66.0881 + 4.64 Combine like terms: -4.64 + 4.64 = 0.00 0.00 + 4.827v = 66.0881 + 4.64 4.827v = 66.0881 + 4.64 Combine like terms: 66.0881 + 4.64 = 70.7281 4.827v = 70.7281 Divide each side by '4.827'. v = 14.65259996 Simplifying v = 14.65259996
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