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Simplifying 4(w + -1) = 6w + 2 + -2(-7w + -2) Reorder the terms: 4(-1 + w) = 6w + 2 + -2(-7w + -2) (-1 * 4 + w * 4) = 6w + 2 + -2(-7w + -2) (-4 + 4w) = 6w + 2 + -2(-7w + -2) Reorder the terms: -4 + 4w = 6w + 2 + -2(-2 + -7w) -4 + 4w = 6w + 2 + (-2 * -2 + -7w * -2) -4 + 4w = 6w + 2 + (4 + 14w) Reorder the terms: -4 + 4w = 2 + 4 + 6w + 14w Combine like terms: 2 + 4 = 6 -4 + 4w = 6 + 6w + 14w Combine like terms: 6w + 14w = 20w -4 + 4w = 6 + 20w Solving -4 + 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. -4 + 4w + -20w = 6 + 20w + -20w Combine like terms: 4w + -20w = -16w -4 + -16w = 6 + 20w + -20w Combine like terms: 20w + -20w = 0 -4 + -16w = 6 + 0 -4 + -16w = 6 Add '4' to each side of the equation. -4 + 4 + -16w = 6 + 4 Combine like terms: -4 + 4 = 0 0 + -16w = 6 + 4 -16w = 6 + 4 Combine like terms: 6 + 4 = 10 -16w = 10 Divide each side by '-16'. w = -0.625 Simplifying w = -0.625
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