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Simplifying 2(w + -4) + -3(2w + 7) = 3 Reorder the terms: 2(-4 + w) + -3(2w + 7) = 3 (-4 * 2 + w * 2) + -3(2w + 7) = 3 (-8 + 2w) + -3(2w + 7) = 3 Reorder the terms: -8 + 2w + -3(7 + 2w) = 3 -8 + 2w + (7 * -3 + 2w * -3) = 3 -8 + 2w + (-21 + -6w) = 3 Reorder the terms: -8 + -21 + 2w + -6w = 3 Combine like terms: -8 + -21 = -29 -29 + 2w + -6w = 3 Combine like terms: 2w + -6w = -4w -29 + -4w = 3 Solving -29 + -4w = 3 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '29' to each side of the equation. -29 + 29 + -4w = 3 + 29 Combine like terms: -29 + 29 = 0 0 + -4w = 3 + 29 -4w = 3 + 29 Combine like terms: 3 + 29 = 32 -4w = 32 Divide each side by '-4'. w = -8 Simplifying w = -8
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