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Simplifying -3(W + 2) = 2(W + 6) + 7 Reorder the terms: -3(2 + W) = 2(W + 6) + 7 (2 * -3 + W * -3) = 2(W + 6) + 7 (-6 + -3W) = 2(W + 6) + 7 Reorder the terms: -6 + -3W = 2(6 + W) + 7 -6 + -3W = (6 * 2 + W * 2) + 7 -6 + -3W = (12 + 2W) + 7 Reorder the terms: -6 + -3W = 12 + 7 + 2W Combine like terms: 12 + 7 = 19 -6 + -3W = 19 + 2W Solving -6 + -3W = 19 + 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. -6 + -3W + -2W = 19 + 2W + -2W Combine like terms: -3W + -2W = -5W -6 + -5W = 19 + 2W + -2W Combine like terms: 2W + -2W = 0 -6 + -5W = 19 + 0 -6 + -5W = 19 Add '6' to each side of the equation. -6 + 6 + -5W = 19 + 6 Combine like terms: -6 + 6 = 0 0 + -5W = 19 + 6 -5W = 19 + 6 Combine like terms: 19 + 6 = 25 -5W = 25 Divide each side by '-5'. W = -5 Simplifying W = -5
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