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Simplifying 4(w + -7) = 3(w + 1) Reorder the terms: 4(-7 + w) = 3(w + 1) (-7 * 4 + w * 4) = 3(w + 1) (-28 + 4w) = 3(w + 1) Reorder the terms: -28 + 4w = 3(1 + w) -28 + 4w = (1 * 3 + w * 3) -28 + 4w = (3 + 3w) Solving -28 + 4w = 3 + 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 = 3 + 3w + -3w Combine like terms: 4w + -3w = 1w -28 + 1w = 3 + 3w + -3w Combine like terms: 3w + -3w = 0 -28 + 1w = 3 + 0 -28 + 1w = 3 Add '28' to each side of the equation. -28 + 28 + 1w = 3 + 28 Combine like terms: -28 + 28 = 0 0 + 1w = 3 + 28 1w = 3 + 28 Combine like terms: 3 + 28 = 31 1w = 31 Divide each side by '1'. w = 31 Simplifying w = 31
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