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Simplifying -33 = -4 + 5(v + 7) Reorder the terms: -33 = -4 + 5(7 + v) -33 = -4 + (7 * 5 + v * 5) -33 = -4 + (35 + 5v) Combine like terms: -4 + 35 = 31 -33 = 31 + 5v Solving -33 = 31 + 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. -33 + -5v = 31 + 5v + -5v Combine like terms: 5v + -5v = 0 -33 + -5v = 31 + 0 -33 + -5v = 31 Add '33' to each side of the equation. -33 + 33 + -5v = 31 + 33 Combine like terms: -33 + 33 = 0 0 + -5v = 31 + 33 -5v = 31 + 33 Combine like terms: 31 + 33 = 64 -5v = 64 Divide each side by '-5'. v = -12.8 Simplifying v = -12.8
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