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Simplifying -4(w + 3) = 4w + -7 + 5(2w + 1) Reorder the terms: -4(3 + w) = 4w + -7 + 5(2w + 1) (3 * -4 + w * -4) = 4w + -7 + 5(2w + 1) (-12 + -4w) = 4w + -7 + 5(2w + 1) Reorder the terms: -12 + -4w = 4w + -7 + 5(1 + 2w) -12 + -4w = 4w + -7 + (1 * 5 + 2w * 5) -12 + -4w = 4w + -7 + (5 + 10w) Reorder the terms: -12 + -4w = -7 + 5 + 4w + 10w Combine like terms: -7 + 5 = -2 -12 + -4w = -2 + 4w + 10w Combine like terms: 4w + 10w = 14w -12 + -4w = -2 + 14w Solving -12 + -4w = -2 + 14w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-14w' to each side of the equation. -12 + -4w + -14w = -2 + 14w + -14w Combine like terms: -4w + -14w = -18w -12 + -18w = -2 + 14w + -14w Combine like terms: 14w + -14w = 0 -12 + -18w = -2 + 0 -12 + -18w = -2 Add '12' to each side of the equation. -12 + 12 + -18w = -2 + 12 Combine like terms: -12 + 12 = 0 0 + -18w = -2 + 12 -18w = -2 + 12 Combine like terms: -2 + 12 = 10 -18w = 10 Divide each side by '-18'. w = -0.5555555556 Simplifying w = -0.5555555556
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