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Simplifying 8v + -7 = 4 + 16(v + 11) Reorder the terms: -7 + 8v = 4 + 16(v + 11) Reorder the terms: -7 + 8v = 4 + 16(11 + v) -7 + 8v = 4 + (11 * 16 + v * 16) -7 + 8v = 4 + (176 + 16v) Combine like terms: 4 + 176 = 180 -7 + 8v = 180 + 16v Solving -7 + 8v = 180 + 16v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-16v' to each side of the equation. -7 + 8v + -16v = 180 + 16v + -16v Combine like terms: 8v + -16v = -8v -7 + -8v = 180 + 16v + -16v Combine like terms: 16v + -16v = 0 -7 + -8v = 180 + 0 -7 + -8v = 180 Add '7' to each side of the equation. -7 + 7 + -8v = 180 + 7 Combine like terms: -7 + 7 = 0 0 + -8v = 180 + 7 -8v = 180 + 7 Combine like terms: 180 + 7 = 187 -8v = 187 Divide each side by '-8'. v = -23.375 Simplifying v = -23.375
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