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Simplifying -19 + 12w + -19 = 19 + 15w Reorder the terms: -19 + -19 + 12w = 19 + 15w Combine like terms: -19 + -19 = -38 -38 + 12w = 19 + 15w Solving -38 + 12w = 19 + 15w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-15w' to each side of the equation. -38 + 12w + -15w = 19 + 15w + -15w Combine like terms: 12w + -15w = -3w -38 + -3w = 19 + 15w + -15w Combine like terms: 15w + -15w = 0 -38 + -3w = 19 + 0 -38 + -3w = 19 Add '38' to each side of the equation. -38 + 38 + -3w = 19 + 38 Combine like terms: -38 + 38 = 0 0 + -3w = 19 + 38 -3w = 19 + 38 Combine like terms: 19 + 38 = 57 -3w = 57 Divide each side by '-3'. w = -19 Simplifying w = -19
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