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Simplifying -4(-4w + 9) + -3w = 7(w + -7) + -1 Reorder the terms: -4(9 + -4w) + -3w = 7(w + -7) + -1 (9 * -4 + -4w * -4) + -3w = 7(w + -7) + -1 (-36 + 16w) + -3w = 7(w + -7) + -1 Combine like terms: 16w + -3w = 13w -36 + 13w = 7(w + -7) + -1 Reorder the terms: -36 + 13w = 7(-7 + w) + -1 -36 + 13w = (-7 * 7 + w * 7) + -1 -36 + 13w = (-49 + 7w) + -1 Reorder the terms: -36 + 13w = -49 + -1 + 7w Combine like terms: -49 + -1 = -50 -36 + 13w = -50 + 7w Solving -36 + 13w = -50 + 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. -36 + 13w + -7w = -50 + 7w + -7w Combine like terms: 13w + -7w = 6w -36 + 6w = -50 + 7w + -7w Combine like terms: 7w + -7w = 0 -36 + 6w = -50 + 0 -36 + 6w = -50 Add '36' to each side of the equation. -36 + 36 + 6w = -50 + 36 Combine like terms: -36 + 36 = 0 0 + 6w = -50 + 36 6w = -50 + 36 Combine like terms: -50 + 36 = -14 6w = -14 Divide each side by '6'. w = -2.333333333 Simplifying w = -2.333333333
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