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Simplifying -3w + 38 = 4(w + -1) Reorder the terms: 38 + -3w = 4(w + -1) Reorder the terms: 38 + -3w = 4(-1 + w) 38 + -3w = (-1 * 4 + w * 4) 38 + -3w = (-4 + 4w) Solving 38 + -3w = -4 + 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 + -3w + -4w = -4 + 4w + -4w Combine like terms: -3w + -4w = -7w 38 + -7w = -4 + 4w + -4w Combine like terms: 4w + -4w = 0 38 + -7w = -4 + 0 38 + -7w = -4 Add '-38' to each side of the equation. 38 + -38 + -7w = -4 + -38 Combine like terms: 38 + -38 = 0 0 + -7w = -4 + -38 -7w = -4 + -38 Combine like terms: -4 + -38 = -42 -7w = -42 Divide each side by '-7'. w = 6 Simplifying w = 6
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