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Simplifying 6(v + -5) = -7v + 48 Reorder the terms: 6(-5 + v) = -7v + 48 (-5 * 6 + v * 6) = -7v + 48 (-30 + 6v) = -7v + 48 Reorder the terms: -30 + 6v = 48 + -7v Solving -30 + 6v = 48 + -7v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '7v' to each side of the equation. -30 + 6v + 7v = 48 + -7v + 7v Combine like terms: 6v + 7v = 13v -30 + 13v = 48 + -7v + 7v Combine like terms: -7v + 7v = 0 -30 + 13v = 48 + 0 -30 + 13v = 48 Add '30' to each side of the equation. -30 + 30 + 13v = 48 + 30 Combine like terms: -30 + 30 = 0 0 + 13v = 48 + 30 13v = 48 + 30 Combine like terms: 48 + 30 = 78 13v = 78 Divide each side by '13'. v = 6 Simplifying v = 6
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