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Simplifying 2w + -38 = 8(w + 2) Reorder the terms: -38 + 2w = 8(w + 2) Reorder the terms: -38 + 2w = 8(2 + w) -38 + 2w = (2 * 8 + w * 8) -38 + 2w = (16 + 8w) Solving -38 + 2w = 16 + 8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-8w' to each side of the equation. -38 + 2w + -8w = 16 + 8w + -8w Combine like terms: 2w + -8w = -6w -38 + -6w = 16 + 8w + -8w Combine like terms: 8w + -8w = 0 -38 + -6w = 16 + 0 -38 + -6w = 16 Add '38' to each side of the equation. -38 + 38 + -6w = 16 + 38 Combine like terms: -38 + 38 = 0 0 + -6w = 16 + 38 -6w = 16 + 38 Combine like terms: 16 + 38 = 54 -6w = 54 Divide each side by '-6'. w = -9 Simplifying w = -9
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