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Simplifying 2w + -32 = -6(w + 8) Reorder the terms: -32 + 2w = -6(w + 8) Reorder the terms: -32 + 2w = -6(8 + w) -32 + 2w = (8 * -6 + w * -6) -32 + 2w = (-48 + -6w) Solving -32 + 2w = -48 + -6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '6w' to each side of the equation. -32 + 2w + 6w = -48 + -6w + 6w Combine like terms: 2w + 6w = 8w -32 + 8w = -48 + -6w + 6w Combine like terms: -6w + 6w = 0 -32 + 8w = -48 + 0 -32 + 8w = -48 Add '32' to each side of the equation. -32 + 32 + 8w = -48 + 32 Combine like terms: -32 + 32 = 0 0 + 8w = -48 + 32 8w = -48 + 32 Combine like terms: -48 + 32 = -16 8w = -16 Divide each side by '8'. w = -2 Simplifying w = -2
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