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Simplifying -7(w + 3) + -3(2w + 8) = 0 Reorder the terms: -7(3 + w) + -3(2w + 8) = 0 (3 * -7 + w * -7) + -3(2w + 8) = 0 (-21 + -7w) + -3(2w + 8) = 0 Reorder the terms: -21 + -7w + -3(8 + 2w) = 0 -21 + -7w + (8 * -3 + 2w * -3) = 0 -21 + -7w + (-24 + -6w) = 0 Reorder the terms: -21 + -24 + -7w + -6w = 0 Combine like terms: -21 + -24 = -45 -45 + -7w + -6w = 0 Combine like terms: -7w + -6w = -13w -45 + -13w = 0 Solving -45 + -13w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '45' to each side of the equation. -45 + 45 + -13w = 0 + 45 Combine like terms: -45 + 45 = 0 0 + -13w = 0 + 45 -13w = 0 + 45 Combine like terms: 0 + 45 = 45 -13w = 45 Divide each side by '-13'. w = -3.461538462 Simplifying w = -3.461538462
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