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Simplifying 2(w + -7) + -4 = -6(-4w + 1) + -8w Reorder the terms: 2(-7 + w) + -4 = -6(-4w + 1) + -8w (-7 * 2 + w * 2) + -4 = -6(-4w + 1) + -8w (-14 + 2w) + -4 = -6(-4w + 1) + -8w Reorder the terms: -14 + -4 + 2w = -6(-4w + 1) + -8w Combine like terms: -14 + -4 = -18 -18 + 2w = -6(-4w + 1) + -8w Reorder the terms: -18 + 2w = -6(1 + -4w) + -8w -18 + 2w = (1 * -6 + -4w * -6) + -8w -18 + 2w = (-6 + 24w) + -8w Combine like terms: 24w + -8w = 16w -18 + 2w = -6 + 16w Solving -18 + 2w = -6 + 16w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-16w' to each side of the equation. -18 + 2w + -16w = -6 + 16w + -16w Combine like terms: 2w + -16w = -14w -18 + -14w = -6 + 16w + -16w Combine like terms: 16w + -16w = 0 -18 + -14w = -6 + 0 -18 + -14w = -6 Add '18' to each side of the equation. -18 + 18 + -14w = -6 + 18 Combine like terms: -18 + 18 = 0 0 + -14w = -6 + 18 -14w = -6 + 18 Combine like terms: -6 + 18 = 12 -14w = 12 Divide each side by '-14'. w = -0.8571428571 Simplifying w = -0.8571428571
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