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Simplifying 7 + -5(4w + 12) + 12w + 20 = 71 Reorder the terms: 7 + -5(12 + 4w) + 12w + 20 = 71 7 + (12 * -5 + 4w * -5) + 12w + 20 = 71 7 + (-60 + -20w) + 12w + 20 = 71 Reorder the terms: 7 + -60 + 20 + -20w + 12w = 71 Combine like terms: 7 + -60 = -53 -53 + 20 + -20w + 12w = 71 Combine like terms: -53 + 20 = -33 -33 + -20w + 12w = 71 Combine like terms: -20w + 12w = -8w -33 + -8w = 71 Solving -33 + -8w = 71 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '33' to each side of the equation. -33 + 33 + -8w = 71 + 33 Combine like terms: -33 + 33 = 0 0 + -8w = 71 + 33 -8w = 71 + 33 Combine like terms: 71 + 33 = 104 -8w = 104 Divide each side by '-8'. w = -13 Simplifying w = -13
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