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Simplifying -15 = -4w + 7(w + -3) Reorder the terms: -15 = -4w + 7(-3 + w) -15 = -4w + (-3 * 7 + w * 7) -15 = -4w + (-21 + 7w) Reorder the terms: -15 = -21 + -4w + 7w Combine like terms: -4w + 7w = 3w -15 = -21 + 3w Solving -15 = -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. -15 + -3w = -21 + 3w + -3w Combine like terms: 3w + -3w = 0 -15 + -3w = -21 + 0 -15 + -3w = -21 Add '15' to each side of the equation. -15 + 15 + -3w = -21 + 15 Combine like terms: -15 + 15 = 0 0 + -3w = -21 + 15 -3w = -21 + 15 Combine like terms: -21 + 15 = -6 -3w = -6 Divide each side by '-3'. w = 2 Simplifying w = 2
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