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Simplifying -38 + 7w = 8(w + 4) Reorder the terms: -38 + 7w = 8(4 + w) -38 + 7w = (4 * 8 + w * 8) -38 + 7w = (32 + 8w) Solving -38 + 7w = 32 + 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 + 7w + -8w = 32 + 8w + -8w Combine like terms: 7w + -8w = -1w -38 + -1w = 32 + 8w + -8w Combine like terms: 8w + -8w = 0 -38 + -1w = 32 + 0 -38 + -1w = 32 Add '38' to each side of the equation. -38 + 38 + -1w = 32 + 38 Combine like terms: -38 + 38 = 0 0 + -1w = 32 + 38 -1w = 32 + 38 Combine like terms: 32 + 38 = 70 -1w = 70 Divide each side by '-1'. w = -70 Simplifying w = -70
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