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Simplifying -5.2 = 2.8(v + 6) + -8 Reorder the terms: -5.2 = 2.8(6 + v) + -8 -5.2 = (6 * 2.8 + v * 2.8) + -8 -5.2 = (16.8 + 2.8v) + -8 Reorder the terms: -5.2 = 16.8 + -8 + 2.8v Combine like terms: 16.8 + -8 = 8.8 -5.2 = 8.8 + 2.8v Solving -5.2 = 8.8 + 2.8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-2.8v' to each side of the equation. -5.2 + -2.8v = 8.8 + 2.8v + -2.8v Combine like terms: 2.8v + -2.8v = 0.0 -5.2 + -2.8v = 8.8 + 0.0 -5.2 + -2.8v = 8.8 Add '5.2' to each side of the equation. -5.2 + 5.2 + -2.8v = 8.8 + 5.2 Combine like terms: -5.2 + 5.2 = 0.0 0.0 + -2.8v = 8.8 + 5.2 -2.8v = 8.8 + 5.2 Combine like terms: 8.8 + 5.2 = 14 -2.8v = 14 Divide each side by '-2.8'. v = -5 Simplifying v = -5
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