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Simplifying 3(w + -7) = 5w + 11 Reorder the terms: 3(-7 + w) = 5w + 11 (-7 * 3 + w * 3) = 5w + 11 (-21 + 3w) = 5w + 11 Reorder the terms: -21 + 3w = 11 + 5w Solving -21 + 3w = 11 + 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. -21 + 3w + -5w = 11 + 5w + -5w Combine like terms: 3w + -5w = -2w -21 + -2w = 11 + 5w + -5w Combine like terms: 5w + -5w = 0 -21 + -2w = 11 + 0 -21 + -2w = 11 Add '21' to each side of the equation. -21 + 21 + -2w = 11 + 21 Combine like terms: -21 + 21 = 0 0 + -2w = 11 + 21 -2w = 11 + 21 Combine like terms: 11 + 21 = 32 -2w = 32 Divide each side by '-2'. w = -16 Simplifying w = -16
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