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Simplifying 2 * 4w + -1 = 3 * 4w + 2 Multiply 2 * 4 8w + -1 = 3 * 4w + 2 Reorder the terms: -1 + 8w = 3 * 4w + 2 Multiply 3 * 4 -1 + 8w = 12w + 2 Reorder the terms: -1 + 8w = 2 + 12w Solving -1 + 8w = 2 + 12w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-12w' to each side of the equation. -1 + 8w + -12w = 2 + 12w + -12w Combine like terms: 8w + -12w = -4w -1 + -4w = 2 + 12w + -12w Combine like terms: 12w + -12w = 0 -1 + -4w = 2 + 0 -1 + -4w = 2 Add '1' to each side of the equation. -1 + 1 + -4w = 2 + 1 Combine like terms: -1 + 1 = 0 0 + -4w = 2 + 1 -4w = 2 + 1 Combine like terms: 2 + 1 = 3 -4w = 3 Divide each side by '-4'. w = -0.75 Simplifying w = -0.75
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