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Simplifying 2(w + -2) + -3w = 2(w + -6) Reorder the terms: 2(-2 + w) + -3w = 2(w + -6) (-2 * 2 + w * 2) + -3w = 2(w + -6) (-4 + 2w) + -3w = 2(w + -6) Combine like terms: 2w + -3w = -1w -4 + -1w = 2(w + -6) Reorder the terms: -4 + -1w = 2(-6 + w) -4 + -1w = (-6 * 2 + w * 2) -4 + -1w = (-12 + 2w) Solving -4 + -1w = -12 + 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. -4 + -1w + -2w = -12 + 2w + -2w Combine like terms: -1w + -2w = -3w -4 + -3w = -12 + 2w + -2w Combine like terms: 2w + -2w = 0 -4 + -3w = -12 + 0 -4 + -3w = -12 Add '4' to each side of the equation. -4 + 4 + -3w = -12 + 4 Combine like terms: -4 + 4 = 0 0 + -3w = -12 + 4 -3w = -12 + 4 Combine like terms: -12 + 4 = -8 -3w = -8 Divide each side by '-3'. w = 2.666666667 Simplifying w = 2.666666667
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