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Simplifying -8v + 48 = 5(v + 7) Reorder the terms: 48 + -8v = 5(v + 7) Reorder the terms: 48 + -8v = 5(7 + v) 48 + -8v = (7 * 5 + v * 5) 48 + -8v = (35 + 5v) Solving 48 + -8v = 35 + 5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-5v' to each side of the equation. 48 + -8v + -5v = 35 + 5v + -5v Combine like terms: -8v + -5v = -13v 48 + -13v = 35 + 5v + -5v Combine like terms: 5v + -5v = 0 48 + -13v = 35 + 0 48 + -13v = 35 Add '-48' to each side of the equation. 48 + -48 + -13v = 35 + -48 Combine like terms: 48 + -48 = 0 0 + -13v = 35 + -48 -13v = 35 + -48 Combine like terms: 35 + -48 = -13 -13v = -13 Divide each side by '-13'. v = 1 Simplifying v = 1
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