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Simplifying (2w)(4) + -7 = 5w + -1 Remove parenthesis around (2w) 2w(4) + -7 = 5w + -1 Reorder the terms for easier multiplication: 2 * 4w + -7 = 5w + -1 Multiply 2 * 4 8w + -7 = 5w + -1 Reorder the terms: -7 + 8w = 5w + -1 Reorder the terms: -7 + 8w = -1 + 5w Solving -7 + 8w = -1 + 5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5w' to each side of the equation. -7 + 8w + -5w = -1 + 5w + -5w Combine like terms: 8w + -5w = 3w -7 + 3w = -1 + 5w + -5w Combine like terms: 5w + -5w = 0 -7 + 3w = -1 + 0 -7 + 3w = -1 Add '7' to each side of the equation. -7 + 7 + 3w = -1 + 7 Combine like terms: -7 + 7 = 0 0 + 3w = -1 + 7 3w = -1 + 7 Combine like terms: -1 + 7 = 6 3w = 6 Divide each side by '3'. w = 2 Simplifying w = 2
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