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Simplifying 7w + -5 = 8(w + -5) Reorder the terms: -5 + 7w = 8(w + -5) Reorder the terms: -5 + 7w = 8(-5 + w) -5 + 7w = (-5 * 8 + w * 8) -5 + 7w = (-40 + 8w) Solving -5 + 7w = -40 + 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. -5 + 7w + -8w = -40 + 8w + -8w Combine like terms: 7w + -8w = -1w -5 + -1w = -40 + 8w + -8w Combine like terms: 8w + -8w = 0 -5 + -1w = -40 + 0 -5 + -1w = -40 Add '5' to each side of the equation. -5 + 5 + -1w = -40 + 5 Combine like terms: -5 + 5 = 0 0 + -1w = -40 + 5 -1w = -40 + 5 Combine like terms: -40 + 5 = -35 -1w = -35 Divide each side by '-1'. w = 35 Simplifying w = 35
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