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Simplifying 2(w + -5) = w + 2 + -3(-5w + -2) Reorder the terms: 2(-5 + w) = w + 2 + -3(-5w + -2) (-5 * 2 + w * 2) = w + 2 + -3(-5w + -2) (-10 + 2w) = w + 2 + -3(-5w + -2) Reorder the terms: -10 + 2w = w + 2 + -3(-2 + -5w) -10 + 2w = w + 2 + (-2 * -3 + -5w * -3) -10 + 2w = w + 2 + (6 + 15w) Reorder the terms: -10 + 2w = 2 + 6 + w + 15w Combine like terms: 2 + 6 = 8 -10 + 2w = 8 + w + 15w Combine like terms: w + 15w = 16w -10 + 2w = 8 + 16w Solving -10 + 2w = 8 + 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. -10 + 2w + -16w = 8 + 16w + -16w Combine like terms: 2w + -16w = -14w -10 + -14w = 8 + 16w + -16w Combine like terms: 16w + -16w = 0 -10 + -14w = 8 + 0 -10 + -14w = 8 Add '10' to each side of the equation. -10 + 10 + -14w = 8 + 10 Combine like terms: -10 + 10 = 0 0 + -14w = 8 + 10 -14w = 8 + 10 Combine like terms: 8 + 10 = 18 -14w = 18 Divide each side by '-14'. w = -1.285714286 Simplifying w = -1.285714286
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