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Simplifying -7(-4w + 9) + -7w = 7(w + -7) + -7 Reorder the terms: -7(9 + -4w) + -7w = 7(w + -7) + -7 (9 * -7 + -4w * -7) + -7w = 7(w + -7) + -7 (-63 + 28w) + -7w = 7(w + -7) + -7 Combine like terms: 28w + -7w = 21w -63 + 21w = 7(w + -7) + -7 Reorder the terms: -63 + 21w = 7(-7 + w) + -7 -63 + 21w = (-7 * 7 + w * 7) + -7 -63 + 21w = (-49 + 7w) + -7 Reorder the terms: -63 + 21w = -49 + -7 + 7w Combine like terms: -49 + -7 = -56 -63 + 21w = -56 + 7w Solving -63 + 21w = -56 + 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. -63 + 21w + -7w = -56 + 7w + -7w Combine like terms: 21w + -7w = 14w -63 + 14w = -56 + 7w + -7w Combine like terms: 7w + -7w = 0 -63 + 14w = -56 + 0 -63 + 14w = -56 Add '63' to each side of the equation. -63 + 63 + 14w = -56 + 63 Combine like terms: -63 + 63 = 0 0 + 14w = -56 + 63 14w = -56 + 63 Combine like terms: -56 + 63 = 7 14w = 7 Divide each side by '14'. w = 0.5 Simplifying w = 0.5
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