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Simplifying 2(w + -6) + -12 = -4(-1 + 3w) Reorder the terms: 2(-6 + w) + -12 = -4(-1 + 3w) (-6 * 2 + w * 2) + -12 = -4(-1 + 3w) (-12 + 2w) + -12 = -4(-1 + 3w) Reorder the terms: -12 + -12 + 2w = -4(-1 + 3w) Combine like terms: -12 + -12 = -24 -24 + 2w = -4(-1 + 3w) -24 + 2w = (-1 * -4 + 3w * -4) -24 + 2w = (4 + -12w) Solving -24 + 2w = 4 + -12w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '12w' to each side of the equation. -24 + 2w + 12w = 4 + -12w + 12w Combine like terms: 2w + 12w = 14w -24 + 14w = 4 + -12w + 12w Combine like terms: -12w + 12w = 0 -24 + 14w = 4 + 0 -24 + 14w = 4 Add '24' to each side of the equation. -24 + 24 + 14w = 4 + 24 Combine like terms: -24 + 24 = 0 0 + 14w = 4 + 24 14w = 4 + 24 Combine like terms: 4 + 24 = 28 14w = 28 Divide each side by '14'. w = 2 Simplifying w = 2
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