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Simplifying 2(w + -1) = 6w + 2 + -2(-3w + -2) Reorder the terms: 2(-1 + w) = 6w + 2 + -2(-3w + -2) (-1 * 2 + w * 2) = 6w + 2 + -2(-3w + -2) (-2 + 2w) = 6w + 2 + -2(-3w + -2) Reorder the terms: -2 + 2w = 6w + 2 + -2(-2 + -3w) -2 + 2w = 6w + 2 + (-2 * -2 + -3w * -2) -2 + 2w = 6w + 2 + (4 + 6w) Reorder the terms: -2 + 2w = 2 + 4 + 6w + 6w Combine like terms: 2 + 4 = 6 -2 + 2w = 6 + 6w + 6w Combine like terms: 6w + 6w = 12w -2 + 2w = 6 + 12w Solving -2 + 2w = 6 + 12w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-12w' to each side of the equation. -2 + 2w + -12w = 6 + 12w + -12w Combine like terms: 2w + -12w = -10w -2 + -10w = 6 + 12w + -12w Combine like terms: 12w + -12w = 0 -2 + -10w = 6 + 0 -2 + -10w = 6 Add '2' to each side of the equation. -2 + 2 + -10w = 6 + 2 Combine like terms: -2 + 2 = 0 0 + -10w = 6 + 2 -10w = 6 + 2 Combine like terms: 6 + 2 = 8 -10w = 8 Divide each side by '-10'. w = -0.8 Simplifying w = -0.8
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