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Simplifying -7(-3w + 4) + -2w = 3(w + -7) + -9 Reorder the terms: -7(4 + -3w) + -2w = 3(w + -7) + -9 (4 * -7 + -3w * -7) + -2w = 3(w + -7) + -9 (-28 + 21w) + -2w = 3(w + -7) + -9 Combine like terms: 21w + -2w = 19w -28 + 19w = 3(w + -7) + -9 Reorder the terms: -28 + 19w = 3(-7 + w) + -9 -28 + 19w = (-7 * 3 + w * 3) + -9 -28 + 19w = (-21 + 3w) + -9 Reorder the terms: -28 + 19w = -21 + -9 + 3w Combine like terms: -21 + -9 = -30 -28 + 19w = -30 + 3w Solving -28 + 19w = -30 + 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. -28 + 19w + -3w = -30 + 3w + -3w Combine like terms: 19w + -3w = 16w -28 + 16w = -30 + 3w + -3w Combine like terms: 3w + -3w = 0 -28 + 16w = -30 + 0 -28 + 16w = -30 Add '28' to each side of the equation. -28 + 28 + 16w = -30 + 28 Combine like terms: -28 + 28 = 0 0 + 16w = -30 + 28 16w = -30 + 28 Combine like terms: -30 + 28 = -2 16w = -2 Divide each side by '16'. w = -0.125 Simplifying w = -0.125
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