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Simplifying -7(-4w + 5) + -3w = 7(w + -6) + -3 Reorder the terms: -7(5 + -4w) + -3w = 7(w + -6) + -3 (5 * -7 + -4w * -7) + -3w = 7(w + -6) + -3 (-35 + 28w) + -3w = 7(w + -6) + -3 Combine like terms: 28w + -3w = 25w -35 + 25w = 7(w + -6) + -3 Reorder the terms: -35 + 25w = 7(-6 + w) + -3 -35 + 25w = (-6 * 7 + w * 7) + -3 -35 + 25w = (-42 + 7w) + -3 Reorder the terms: -35 + 25w = -42 + -3 + 7w Combine like terms: -42 + -3 = -45 -35 + 25w = -45 + 7w Solving -35 + 25w = -45 + 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. -35 + 25w + -7w = -45 + 7w + -7w Combine like terms: 25w + -7w = 18w -35 + 18w = -45 + 7w + -7w Combine like terms: 7w + -7w = 0 -35 + 18w = -45 + 0 -35 + 18w = -45 Add '35' to each side of the equation. -35 + 35 + 18w = -45 + 35 Combine like terms: -35 + 35 = 0 0 + 18w = -45 + 35 18w = -45 + 35 Combine like terms: -45 + 35 = -10 18w = -10 Divide each side by '18'. w = -0.5555555556 Simplifying w = -0.5555555556
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