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Simplifying 12w + -8 = 4w + -7 Reorder the terms: -8 + 12w = 4w + -7 Reorder the terms: -8 + 12w = -7 + 4w Solving -8 + 12w = -7 + 4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4w' to each side of the equation. -8 + 12w + -4w = -7 + 4w + -4w Combine like terms: 12w + -4w = 8w -8 + 8w = -7 + 4w + -4w Combine like terms: 4w + -4w = 0 -8 + 8w = -7 + 0 -8 + 8w = -7 Add '8' to each side of the equation. -8 + 8 + 8w = -7 + 8 Combine like terms: -8 + 8 = 0 0 + 8w = -7 + 8 8w = -7 + 8 Combine like terms: -7 + 8 = 1 8w = 1 Divide each side by '8'. w = 0.125 Simplifying w = 0.125
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