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Simplifying 6w + -10 = -2(11 + -4w) Reorder the terms: -10 + 6w = -2(11 + -4w) -10 + 6w = (11 * -2 + -4w * -2) -10 + 6w = (-22 + 8w) Solving -10 + 6w = -22 + 8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-8w' to each side of the equation. -10 + 6w + -8w = -22 + 8w + -8w Combine like terms: 6w + -8w = -2w -10 + -2w = -22 + 8w + -8w Combine like terms: 8w + -8w = 0 -10 + -2w = -22 + 0 -10 + -2w = -22 Add '10' to each side of the equation. -10 + 10 + -2w = -22 + 10 Combine like terms: -10 + 10 = 0 0 + -2w = -22 + 10 -2w = -22 + 10 Combine like terms: -22 + 10 = -12 -2w = -12 Divide each side by '-2'. w = 6 Simplifying w = 6
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