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Simplifying -5 + -3w = 7w + 1 Reorder the terms: -5 + -3w = 1 + 7w Solving -5 + -3w = 1 + 7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-7w' to each side of the equation. -5 + -3w + -7w = 1 + 7w + -7w Combine like terms: -3w + -7w = -10w -5 + -10w = 1 + 7w + -7w Combine like terms: 7w + -7w = 0 -5 + -10w = 1 + 0 -5 + -10w = 1 Add '5' to each side of the equation. -5 + 5 + -10w = 1 + 5 Combine like terms: -5 + 5 = 0 0 + -10w = 1 + 5 -10w = 1 + 5 Combine like terms: 1 + 5 = 6 -10w = 6 Divide each side by '-10'. w = -0.6 Simplifying w = -0.6
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