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Simplifying 2(w + -2) + -7 = -7(-3w + 1) + -5w Reorder the terms: 2(-2 + w) + -7 = -7(-3w + 1) + -5w (-2 * 2 + w * 2) + -7 = -7(-3w + 1) + -5w (-4 + 2w) + -7 = -7(-3w + 1) + -5w Reorder the terms: -4 + -7 + 2w = -7(-3w + 1) + -5w Combine like terms: -4 + -7 = -11 -11 + 2w = -7(-3w + 1) + -5w Reorder the terms: -11 + 2w = -7(1 + -3w) + -5w -11 + 2w = (1 * -7 + -3w * -7) + -5w -11 + 2w = (-7 + 21w) + -5w Combine like terms: 21w + -5w = 16w -11 + 2w = -7 + 16w Solving -11 + 2w = -7 + 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. -11 + 2w + -16w = -7 + 16w + -16w Combine like terms: 2w + -16w = -14w -11 + -14w = -7 + 16w + -16w Combine like terms: 16w + -16w = 0 -11 + -14w = -7 + 0 -11 + -14w = -7 Add '11' to each side of the equation. -11 + 11 + -14w = -7 + 11 Combine like terms: -11 + 11 = 0 0 + -14w = -7 + 11 -14w = -7 + 11 Combine like terms: -7 + 11 = 4 -14w = 4 Divide each side by '-14'. w = -0.2857142857 Simplifying w = -0.2857142857
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