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Simplifying 4(w + -1) + -8 = -6(-4w + 1) + -4w Reorder the terms: 4(-1 + w) + -8 = -6(-4w + 1) + -4w (-1 * 4 + w * 4) + -8 = -6(-4w + 1) + -4w (-4 + 4w) + -8 = -6(-4w + 1) + -4w Reorder the terms: -4 + -8 + 4w = -6(-4w + 1) + -4w Combine like terms: -4 + -8 = -12 -12 + 4w = -6(-4w + 1) + -4w Reorder the terms: -12 + 4w = -6(1 + -4w) + -4w -12 + 4w = (1 * -6 + -4w * -6) + -4w -12 + 4w = (-6 + 24w) + -4w Combine like terms: 24w + -4w = 20w -12 + 4w = -6 + 20w Solving -12 + 4w = -6 + 20w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-20w' to each side of the equation. -12 + 4w + -20w = -6 + 20w + -20w Combine like terms: 4w + -20w = -16w -12 + -16w = -6 + 20w + -20w Combine like terms: 20w + -20w = 0 -12 + -16w = -6 + 0 -12 + -16w = -6 Add '12' to each side of the equation. -12 + 12 + -16w = -6 + 12 Combine like terms: -12 + 12 = 0 0 + -16w = -6 + 12 -16w = -6 + 12 Combine like terms: -6 + 12 = 6 -16w = 6 Divide each side by '-16'. w = -0.375 Simplifying w = -0.375
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