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Simplifying 6(w + -2) + -6 = -6(-3w + 2) + -8w Reorder the terms: 6(-2 + w) + -6 = -6(-3w + 2) + -8w (-2 * 6 + w * 6) + -6 = -6(-3w + 2) + -8w (-12 + 6w) + -6 = -6(-3w + 2) + -8w Reorder the terms: -12 + -6 + 6w = -6(-3w + 2) + -8w Combine like terms: -12 + -6 = -18 -18 + 6w = -6(-3w + 2) + -8w Reorder the terms: -18 + 6w = -6(2 + -3w) + -8w -18 + 6w = (2 * -6 + -3w * -6) + -8w -18 + 6w = (-12 + 18w) + -8w Combine like terms: 18w + -8w = 10w -18 + 6w = -12 + 10w Solving -18 + 6w = -12 + 10w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-10w' to each side of the equation. -18 + 6w + -10w = -12 + 10w + -10w Combine like terms: 6w + -10w = -4w -18 + -4w = -12 + 10w + -10w Combine like terms: 10w + -10w = 0 -18 + -4w = -12 + 0 -18 + -4w = -12 Add '18' to each side of the equation. -18 + 18 + -4w = -12 + 18 Combine like terms: -18 + 18 = 0 0 + -4w = -12 + 18 -4w = -12 + 18 Combine like terms: -12 + 18 = 6 -4w = 6 Divide each side by '-4'. w = -1.5 Simplifying w = -1.5
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