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Simplifying 7(w + -3) = 2w + 19 Reorder the terms: 7(-3 + w) = 2w + 19 (-3 * 7 + w * 7) = 2w + 19 (-21 + 7w) = 2w + 19 Reorder the terms: -21 + 7w = 19 + 2w Solving -21 + 7w = 19 + 2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2w' to each side of the equation. -21 + 7w + -2w = 19 + 2w + -2w Combine like terms: 7w + -2w = 5w -21 + 5w = 19 + 2w + -2w Combine like terms: 2w + -2w = 0 -21 + 5w = 19 + 0 -21 + 5w = 19 Add '21' to each side of the equation. -21 + 21 + 5w = 19 + 21 Combine like terms: -21 + 21 = 0 0 + 5w = 19 + 21 5w = 19 + 21 Combine like terms: 19 + 21 = 40 5w = 40 Divide each side by '5'. w = 8 Simplifying w = 8
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