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Simplifying 48 = 3(v + -63) Reorder the terms: 48 = 3(-63 + v) 48 = (-63 * 3 + v * 3) 48 = (-189 + 3v) Solving 48 = -189 + 3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-3v' to each side of the equation. 48 + -3v = -189 + 3v + -3v Combine like terms: 3v + -3v = 0 48 + -3v = -189 + 0 48 + -3v = -189 Add '-48' to each side of the equation. 48 + -48 + -3v = -189 + -48 Combine like terms: 48 + -48 = 0 0 + -3v = -189 + -48 -3v = -189 + -48 Combine like terms: -189 + -48 = -237 -3v = -237 Divide each side by '-3'. v = 79 Simplifying v = 79
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