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Simplifying 3 + -1w + -1(7w + 12) = 2(w + -3) Reorder the terms: 3 + -1w + -1(12 + 7w) = 2(w + -3) 3 + -1w + (12 * -1 + 7w * -1) = 2(w + -3) 3 + -1w + (-12 + -7w) = 2(w + -3) Reorder the terms: 3 + -12 + -1w + -7w = 2(w + -3) Combine like terms: 3 + -12 = -9 -9 + -1w + -7w = 2(w + -3) Combine like terms: -1w + -7w = -8w -9 + -8w = 2(w + -3) Reorder the terms: -9 + -8w = 2(-3 + w) -9 + -8w = (-3 * 2 + w * 2) -9 + -8w = (-6 + 2w) Solving -9 + -8w = -6 + 2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2w' to each side of the equation. -9 + -8w + -2w = -6 + 2w + -2w Combine like terms: -8w + -2w = -10w -9 + -10w = -6 + 2w + -2w Combine like terms: 2w + -2w = 0 -9 + -10w = -6 + 0 -9 + -10w = -6 Add '9' to each side of the equation. -9 + 9 + -10w = -6 + 9 Combine like terms: -9 + 9 = 0 0 + -10w = -6 + 9 -10w = -6 + 9 Combine like terms: -6 + 9 = 3 -10w = 3 Divide each side by '-10'. w = -0.3 Simplifying w = -0.3
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