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Simplifying 4 + -5(2w + 7) = 2w + 5 Reorder the terms: 4 + -5(7 + 2w) = 2w + 5 4 + (7 * -5 + 2w * -5) = 2w + 5 4 + (-35 + -10w) = 2w + 5 Combine like terms: 4 + -35 = -31 -31 + -10w = 2w + 5 Reorder the terms: -31 + -10w = 5 + 2w Solving -31 + -10w = 5 + 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. -31 + -10w + -2w = 5 + 2w + -2w Combine like terms: -10w + -2w = -12w -31 + -12w = 5 + 2w + -2w Combine like terms: 2w + -2w = 0 -31 + -12w = 5 + 0 -31 + -12w = 5 Add '31' to each side of the equation. -31 + 31 + -12w = 5 + 31 Combine like terms: -31 + 31 = 0 0 + -12w = 5 + 31 -12w = 5 + 31 Combine like terms: 5 + 31 = 36 -12w = 36 Divide each side by '-12'. w = -3 Simplifying w = -3
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