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Simplifying 6 = 8(v + -3) * 4 + -20 Reorder the terms: 6 = 8(-3 + v) * 4 + -20 Reorder the terms for easier multiplication: 6 = 8 * 4(-3 + v) + -20 Multiply 8 * 4 6 = 32(-3 + v) + -20 6 = (-3 * 32 + v * 32) + -20 6 = (-96 + 32v) + -20 Reorder the terms: 6 = -96 + -20 + 32v Combine like terms: -96 + -20 = -116 6 = -116 + 32v Solving 6 = -116 + 32v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-32v' to each side of the equation. 6 + -32v = -116 + 32v + -32v Combine like terms: 32v + -32v = 0 6 + -32v = -116 + 0 6 + -32v = -116 Add '-6' to each side of the equation. 6 + -6 + -32v = -116 + -6 Combine like terms: 6 + -6 = 0 0 + -32v = -116 + -6 -32v = -116 + -6 Combine like terms: -116 + -6 = -122 -32v = -122 Divide each side by '-32'. v = 3.8125 Simplifying v = 3.8125
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