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