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Simplifying 2(w + -6) + -7w = -37 Reorder the terms: 2(-6 + w) + -7w = -37 (-6 * 2 + w * 2) + -7w = -37 (-12 + 2w) + -7w = -37 Combine like terms: 2w + -7w = -5w -12 + -5w = -37 Solving -12 + -5w = -37 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + -5w = -37 + 12 Combine like terms: -12 + 12 = 0 0 + -5w = -37 + 12 -5w = -37 + 12 Combine like terms: -37 + 12 = -25 -5w = -25 Divide each side by '-5'. w = 5 Simplifying w = 5
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