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Simplifying 4w + -36 = -4(w + 1) Reorder the terms: -36 + 4w = -4(w + 1) Reorder the terms: -36 + 4w = -4(1 + w) -36 + 4w = (1 * -4 + w * -4) -36 + 4w = (-4 + -4w) Solving -36 + 4w = -4 + -4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '4w' to each side of the equation. -36 + 4w + 4w = -4 + -4w + 4w Combine like terms: 4w + 4w = 8w -36 + 8w = -4 + -4w + 4w Combine like terms: -4w + 4w = 0 -36 + 8w = -4 + 0 -36 + 8w = -4 Add '36' to each side of the equation. -36 + 36 + 8w = -4 + 36 Combine like terms: -36 + 36 = 0 0 + 8w = -4 + 36 8w = -4 + 36 Combine like terms: -4 + 36 = 32 8w = 32 Divide each side by '8'. w = 4 Simplifying w = 4
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