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Simplifying -30 = 4(w + -3) + 2w Reorder the terms: -30 = 4(-3 + w) + 2w -30 = (-3 * 4 + w * 4) + 2w -30 = (-12 + 4w) + 2w Combine like terms: 4w + 2w = 6w -30 = -12 + 6w Solving -30 = -12 + 6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-6w' to each side of the equation. -30 + -6w = -12 + 6w + -6w Combine like terms: 6w + -6w = 0 -30 + -6w = -12 + 0 -30 + -6w = -12 Add '30' to each side of the equation. -30 + 30 + -6w = -12 + 30 Combine like terms: -30 + 30 = 0 0 + -6w = -12 + 30 -6w = -12 + 30 Combine like terms: -12 + 30 = 18 -6w = 18 Divide each side by '-6'. w = -3 Simplifying w = -3
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