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Simplifying 4(w + -7) = 6 + 3w Reorder the terms: 4(-7 + w) = 6 + 3w (-7 * 4 + w * 4) = 6 + 3w (-28 + 4w) = 6 + 3w Solving -28 + 4w = 6 + 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. -28 + 4w + -3w = 6 + 3w + -3w Combine like terms: 4w + -3w = 1w -28 + 1w = 6 + 3w + -3w Combine like terms: 3w + -3w = 0 -28 + 1w = 6 + 0 -28 + 1w = 6 Add '28' to each side of the equation. -28 + 28 + 1w = 6 + 28 Combine like terms: -28 + 28 = 0 0 + 1w = 6 + 28 1w = 6 + 28 Combine like terms: 6 + 28 = 34 1w = 34 Divide each side by '1'. w = 34 Simplifying w = 34
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