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Simplifying -7(-3w + 1) + -2w = 3(w + -2) + -9 Reorder the terms: -7(1 + -3w) + -2w = 3(w + -2) + -9 (1 * -7 + -3w * -7) + -2w = 3(w + -2) + -9 (-7 + 21w) + -2w = 3(w + -2) + -9 Combine like terms: 21w + -2w = 19w -7 + 19w = 3(w + -2) + -9 Reorder the terms: -7 + 19w = 3(-2 + w) + -9 -7 + 19w = (-2 * 3 + w * 3) + -9 -7 + 19w = (-6 + 3w) + -9 Reorder the terms: -7 + 19w = -6 + -9 + 3w Combine like terms: -6 + -9 = -15 -7 + 19w = -15 + 3w Solving -7 + 19w = -15 + 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. -7 + 19w + -3w = -15 + 3w + -3w Combine like terms: 19w + -3w = 16w -7 + 16w = -15 + 3w + -3w Combine like terms: 3w + -3w = 0 -7 + 16w = -15 + 0 -7 + 16w = -15 Add '7' to each side of the equation. -7 + 7 + 16w = -15 + 7 Combine like terms: -7 + 7 = 0 0 + 16w = -15 + 7 16w = -15 + 7 Combine like terms: -15 + 7 = -8 16w = -8 Divide each side by '16'. w = -0.5 Simplifying w = -0.5
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