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Simplifying 2w + -10 = -6(w + 3) Reorder the terms: -10 + 2w = -6(w + 3) Reorder the terms: -10 + 2w = -6(3 + w) -10 + 2w = (3 * -6 + w * -6) -10 + 2w = (-18 + -6w) Solving -10 + 2w = -18 + -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. -10 + 2w + 6w = -18 + -6w + 6w Combine like terms: 2w + 6w = 8w -10 + 8w = -18 + -6w + 6w Combine like terms: -6w + 6w = 0 -10 + 8w = -18 + 0 -10 + 8w = -18 Add '10' to each side of the equation. -10 + 10 + 8w = -18 + 10 Combine like terms: -10 + 10 = 0 0 + 8w = -18 + 10 8w = -18 + 10 Combine like terms: -18 + 10 = -8 8w = -8 Divide each side by '8'. w = -1 Simplifying w = -1
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