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Simplifying 5w + -58 = 7w + -94 Reorder the terms: -58 + 5w = 7w + -94 Reorder the terms: -58 + 5w = -94 + 7w Solving -58 + 5w = -94 + 7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-7w' to each side of the equation. -58 + 5w + -7w = -94 + 7w + -7w Combine like terms: 5w + -7w = -2w -58 + -2w = -94 + 7w + -7w Combine like terms: 7w + -7w = 0 -58 + -2w = -94 + 0 -58 + -2w = -94 Add '58' to each side of the equation. -58 + 58 + -2w = -94 + 58 Combine like terms: -58 + 58 = 0 0 + -2w = -94 + 58 -2w = -94 + 58 Combine like terms: -94 + 58 = -36 -2w = -36 Divide each side by '-2'. w = 18 Simplifying w = 18
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