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Simplifying -6w + 38 = -2(w + 1) Reorder the terms: 38 + -6w = -2(w + 1) Reorder the terms: 38 + -6w = -2(1 + w) 38 + -6w = (1 * -2 + w * -2) 38 + -6w = (-2 + -2w) Solving 38 + -6w = -2 + -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. 38 + -6w + 2w = -2 + -2w + 2w Combine like terms: -6w + 2w = -4w 38 + -4w = -2 + -2w + 2w Combine like terms: -2w + 2w = 0 38 + -4w = -2 + 0 38 + -4w = -2 Add '-38' to each side of the equation. 38 + -38 + -4w = -2 + -38 Combine like terms: 38 + -38 = 0 0 + -4w = -2 + -38 -4w = -2 + -38 Combine like terms: -2 + -38 = -40 -4w = -40 Divide each side by '-4'. w = 10 Simplifying w = 10
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