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Simplifying 4(w + -3) = 8w + 2w Reorder the terms: 4(-3 + w) = 8w + 2w (-3 * 4 + w * 4) = 8w + 2w (-12 + 4w) = 8w + 2w Combine like terms: 8w + 2w = 10w -12 + 4w = 10w Solving -12 + 4w = 10w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-10w' to each side of the equation. -12 + 4w + -10w = 10w + -10w Combine like terms: 4w + -10w = -6w -12 + -6w = 10w + -10w Combine like terms: 10w + -10w = 0 -12 + -6w = 0 Add '12' to each side of the equation. -12 + 12 + -6w = 0 + 12 Combine like terms: -12 + 12 = 0 0 + -6w = 0 + 12 -6w = 0 + 12 Combine like terms: 0 + 12 = 12 -6w = 12 Divide each side by '-6'. w = -2 Simplifying w = -2
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