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Simplifying 3(w + -3) = w + 1 + -4(-4w + -2) Reorder the terms: 3(-3 + w) = w + 1 + -4(-4w + -2) (-3 * 3 + w * 3) = w + 1 + -4(-4w + -2) (-9 + 3w) = w + 1 + -4(-4w + -2) Reorder the terms: -9 + 3w = w + 1 + -4(-2 + -4w) -9 + 3w = w + 1 + (-2 * -4 + -4w * -4) -9 + 3w = w + 1 + (8 + 16w) Reorder the terms: -9 + 3w = 1 + 8 + w + 16w Combine like terms: 1 + 8 = 9 -9 + 3w = 9 + w + 16w Combine like terms: w + 16w = 17w -9 + 3w = 9 + 17w Solving -9 + 3w = 9 + 17w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-17w' to each side of the equation. -9 + 3w + -17w = 9 + 17w + -17w Combine like terms: 3w + -17w = -14w -9 + -14w = 9 + 17w + -17w Combine like terms: 17w + -17w = 0 -9 + -14w = 9 + 0 -9 + -14w = 9 Add '9' to each side of the equation. -9 + 9 + -14w = 9 + 9 Combine like terms: -9 + 9 = 0 0 + -14w = 9 + 9 -14w = 9 + 9 Combine like terms: 9 + 9 = 18 -14w = 18 Divide each side by '-14'. w = -1.285714286 Simplifying w = -1.285714286
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