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Simplifying -5(2w + 3) = 3(11 + -4w) + -58 Reorder the terms: -5(3 + 2w) = 3(11 + -4w) + -58 (3 * -5 + 2w * -5) = 3(11 + -4w) + -58 (-15 + -10w) = 3(11 + -4w) + -58 -15 + -10w = (11 * 3 + -4w * 3) + -58 -15 + -10w = (33 + -12w) + -58 Reorder the terms: -15 + -10w = 33 + -58 + -12w Combine like terms: 33 + -58 = -25 -15 + -10w = -25 + -12w Solving -15 + -10w = -25 + -12w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '12w' to each side of the equation. -15 + -10w + 12w = -25 + -12w + 12w Combine like terms: -10w + 12w = 2w -15 + 2w = -25 + -12w + 12w Combine like terms: -12w + 12w = 0 -15 + 2w = -25 + 0 -15 + 2w = -25 Add '15' to each side of the equation. -15 + 15 + 2w = -25 + 15 Combine like terms: -15 + 15 = 0 0 + 2w = -25 + 15 2w = -25 + 15 Combine like terms: -25 + 15 = -10 2w = -10 Divide each side by '2'. w = -5 Simplifying w = -5
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