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Simplifying W + -7 + 4(2w + 1) = -3(w + 2) Reorder the terms: W + -7 + 4(1 + 2w) = -3(w + 2) W + -7 + (1 * 4 + 2w * 4) = -3(w + 2) W + -7 + (4 + 8w) = -3(w + 2) Reorder the terms: -7 + 4 + W + 8w = -3(w + 2) Combine like terms: -7 + 4 = -3 -3 + W + 8w = -3(w + 2) Reorder the terms: -3 + W + 8w = -3(2 + w) -3 + W + 8w = (2 * -3 + w * -3) -3 + W + 8w = (-6 + -3w) Solving -3 + W + 8w = -6 + -3w Solving for variable 'W'. Move all terms containing W to the left, all other terms to the right. Add '3' to each side of the equation. -3 + W + 3 + 8w = -6 + 3 + -3w Reorder the terms: -3 + 3 + W + 8w = -6 + 3 + -3w Combine like terms: -3 + 3 = 0 0 + W + 8w = -6 + 3 + -3w W + 8w = -6 + 3 + -3w Combine like terms: -6 + 3 = -3 W + 8w = -3 + -3w Add '-8w' to each side of the equation. W + 8w + -8w = -3 + -3w + -8w Combine like terms: 8w + -8w = 0 W + 0 = -3 + -3w + -8w W = -3 + -3w + -8w Combine like terms: -3w + -8w = -11w W = -3 + -11w Simplifying W = -3 + -11w
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