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Simplifying -36 = 7(w + -3) + -4w Reorder the terms: -36 = 7(-3 + w) + -4w -36 = (-3 * 7 + w * 7) + -4w -36 = (-21 + 7w) + -4w Combine like terms: 7w + -4w = 3w -36 = -21 + 3w Solving -36 = -21 + 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. -36 + -3w = -21 + 3w + -3w Combine like terms: 3w + -3w = 0 -36 + -3w = -21 + 0 -36 + -3w = -21 Add '36' to each side of the equation. -36 + 36 + -3w = -21 + 36 Combine like terms: -36 + 36 = 0 0 + -3w = -21 + 36 -3w = -21 + 36 Combine like terms: -21 + 36 = 15 -3w = 15 Divide each side by '-3'. w = -5 Simplifying w = -5
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