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Simplifying -15 = 4(w + -2) + 3w Reorder the terms: -15 = 4(-2 + w) + 3w -15 = (-2 * 4 + w * 4) + 3w -15 = (-8 + 4w) + 3w Combine like terms: 4w + 3w = 7w -15 = -8 + 7w Solving -15 = -8 + 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. -15 + -7w = -8 + 7w + -7w Combine like terms: 7w + -7w = 0 -15 + -7w = -8 + 0 -15 + -7w = -8 Add '15' to each side of the equation. -15 + 15 + -7w = -8 + 15 Combine like terms: -15 + 15 = 0 0 + -7w = -8 + 15 -7w = -8 + 15 Combine like terms: -8 + 15 = 7 -7w = 7 Divide each side by '-7'. w = -1 Simplifying w = -1
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