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Simplifying 3(w + -2) = 7w + 34 Reorder the terms: 3(-2 + w) = 7w + 34 (-2 * 3 + w * 3) = 7w + 34 (-6 + 3w) = 7w + 34 Reorder the terms: -6 + 3w = 34 + 7w Solving -6 + 3w = 34 + 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. -6 + 3w + -7w = 34 + 7w + -7w Combine like terms: 3w + -7w = -4w -6 + -4w = 34 + 7w + -7w Combine like terms: 7w + -7w = 0 -6 + -4w = 34 + 0 -6 + -4w = 34 Add '6' to each side of the equation. -6 + 6 + -4w = 34 + 6 Combine like terms: -6 + 6 = 0 0 + -4w = 34 + 6 -4w = 34 + 6 Combine like terms: 34 + 6 = 40 -4w = 40 Divide each side by '-4'. w = -10 Simplifying w = -10
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