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Simplifying 5w(4w + -3) + 21 = 2w(10w + 1) + -13 Reorder the terms: 5w(-3 + 4w) + 21 = 2w(10w + 1) + -13 (-3 * 5w + 4w * 5w) + 21 = 2w(10w + 1) + -13 (-15w + 20w2) + 21 = 2w(10w + 1) + -13 Reorder the terms: 21 + -15w + 20w2 = 2w(10w + 1) + -13 Reorder the terms: 21 + -15w + 20w2 = 2w(1 + 10w) + -13 21 + -15w + 20w2 = (1 * 2w + 10w * 2w) + -13 21 + -15w + 20w2 = (2w + 20w2) + -13 Reorder the terms: 21 + -15w + 20w2 = -13 + 2w + 20w2 Add '-20w2' to each side of the equation. 21 + -15w + 20w2 + -20w2 = -13 + 2w + 20w2 + -20w2 Combine like terms: 20w2 + -20w2 = 0 21 + -15w + 0 = -13 + 2w + 20w2 + -20w2 21 + -15w = -13 + 2w + 20w2 + -20w2 Combine like terms: 20w2 + -20w2 = 0 21 + -15w = -13 + 2w + 0 21 + -15w = -13 + 2w Solving 21 + -15w = -13 + 2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2w' to each side of the equation. 21 + -15w + -2w = -13 + 2w + -2w Combine like terms: -15w + -2w = -17w 21 + -17w = -13 + 2w + -2w Combine like terms: 2w + -2w = 0 21 + -17w = -13 + 0 21 + -17w = -13 Add '-21' to each side of the equation. 21 + -21 + -17w = -13 + -21 Combine like terms: 21 + -21 = 0 0 + -17w = -13 + -21 -17w = -13 + -21 Combine like terms: -13 + -21 = -34 -17w = -34 Divide each side by '-17'. w = 2 Simplifying w = 2
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