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Simplifying -3(2w + -5) = 1 + -4w Reorder the terms: -3(-5 + 2w) = 1 + -4w (-5 * -3 + 2w * -3) = 1 + -4w (15 + -6w) = 1 + -4w Solving 15 + -6w = 1 + -4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '4w' to each side of the equation. 15 + -6w + 4w = 1 + -4w + 4w Combine like terms: -6w + 4w = -2w 15 + -2w = 1 + -4w + 4w Combine like terms: -4w + 4w = 0 15 + -2w = 1 + 0 15 + -2w = 1 Add '-15' to each side of the equation. 15 + -15 + -2w = 1 + -15 Combine like terms: 15 + -15 = 0 0 + -2w = 1 + -15 -2w = 1 + -15 Combine like terms: 1 + -15 = -14 -2w = -14 Divide each side by '-2'. w = 7 Simplifying w = 7
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