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Simplifying 12w + 16w + -7 + 3 = -2w + 3 + -7 Reorder the terms: -7 + 3 + 12w + 16w = -2w + 3 + -7 Combine like terms: -7 + 3 = -4 -4 + 12w + 16w = -2w + 3 + -7 Combine like terms: 12w + 16w = 28w -4 + 28w = -2w + 3 + -7 Reorder the terms: -4 + 28w = 3 + -7 + -2w Combine like terms: 3 + -7 = -4 -4 + 28w = -4 + -2w Add '4' to each side of the equation. -4 + 4 + 28w = -4 + 4 + -2w Combine like terms: -4 + 4 = 0 0 + 28w = -4 + 4 + -2w 28w = -4 + 4 + -2w Combine like terms: -4 + 4 = 0 28w = 0 + -2w 28w = -2w Solving 28w = -2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '2w' to each side of the equation. 28w + 2w = -2w + 2w Combine like terms: 28w + 2w = 30w 30w = -2w + 2w Combine like terms: -2w + 2w = 0 30w = 0 Divide each side by '30'. w = 0.0 Simplifying w = 0.0
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