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Simplifying 2w + -38 = -4(w + 8) Reorder the terms: -38 + 2w = -4(w + 8) Reorder the terms: -38 + 2w = -4(8 + w) -38 + 2w = (8 * -4 + w * -4) -38 + 2w = (-32 + -4w) Solving -38 + 2w = -32 + -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. -38 + 2w + 4w = -32 + -4w + 4w Combine like terms: 2w + 4w = 6w -38 + 6w = -32 + -4w + 4w Combine like terms: -4w + 4w = 0 -38 + 6w = -32 + 0 -38 + 6w = -32 Add '38' to each side of the equation. -38 + 38 + 6w = -32 + 38 Combine like terms: -38 + 38 = 0 0 + 6w = -32 + 38 6w = -32 + 38 Combine like terms: -32 + 38 = 6 6w = 6 Divide each side by '6'. w = 1 Simplifying w = 1
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