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Simplifying -6(-5w + 2) + -7w = 7(w + -1) + -3 Reorder the terms: -6(2 + -5w) + -7w = 7(w + -1) + -3 (2 * -6 + -5w * -6) + -7w = 7(w + -1) + -3 (-12 + 30w) + -7w = 7(w + -1) + -3 Combine like terms: 30w + -7w = 23w -12 + 23w = 7(w + -1) + -3 Reorder the terms: -12 + 23w = 7(-1 + w) + -3 -12 + 23w = (-1 * 7 + w * 7) + -3 -12 + 23w = (-7 + 7w) + -3 Reorder the terms: -12 + 23w = -7 + -3 + 7w Combine like terms: -7 + -3 = -10 -12 + 23w = -10 + 7w Solving -12 + 23w = -10 + 7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-7w' to each side of the equation. -12 + 23w + -7w = -10 + 7w + -7w Combine like terms: 23w + -7w = 16w -12 + 16w = -10 + 7w + -7w Combine like terms: 7w + -7w = 0 -12 + 16w = -10 + 0 -12 + 16w = -10 Add '12' to each side of the equation. -12 + 12 + 16w = -10 + 12 Combine like terms: -12 + 12 = 0 0 + 16w = -10 + 12 16w = -10 + 12 Combine like terms: -10 + 12 = 2 16w = 2 Divide each side by '16'. w = 0.125 Simplifying w = 0.125
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