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Simplifying -12w + -14 = 10w + -58 Reorder the terms: -14 + -12w = 10w + -58 Reorder the terms: -14 + -12w = -58 + 10w Solving -14 + -12w = -58 + 10w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-10w' to each side of the equation. -14 + -12w + -10w = -58 + 10w + -10w Combine like terms: -12w + -10w = -22w -14 + -22w = -58 + 10w + -10w Combine like terms: 10w + -10w = 0 -14 + -22w = -58 + 0 -14 + -22w = -58 Add '14' to each side of the equation. -14 + 14 + -22w = -58 + 14 Combine like terms: -14 + 14 = 0 0 + -22w = -58 + 14 -22w = -58 + 14 Combine like terms: -58 + 14 = -44 -22w = -44 Divide each side by '-22'. w = 2 Simplifying w = 2
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