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Simplifying 7w + -8 = 1 + 10(w + 4) Reorder the terms: -8 + 7w = 1 + 10(w + 4) Reorder the terms: -8 + 7w = 1 + 10(4 + w) -8 + 7w = 1 + (4 * 10 + w * 10) -8 + 7w = 1 + (40 + 10w) Combine like terms: 1 + 40 = 41 -8 + 7w = 41 + 10w Solving -8 + 7w = 41 + 10w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-10w' to each side of the equation. -8 + 7w + -10w = 41 + 10w + -10w Combine like terms: 7w + -10w = -3w -8 + -3w = 41 + 10w + -10w Combine like terms: 10w + -10w = 0 -8 + -3w = 41 + 0 -8 + -3w = 41 Add '8' to each side of the equation. -8 + 8 + -3w = 41 + 8 Combine like terms: -8 + 8 = 0 0 + -3w = 41 + 8 -3w = 41 + 8 Combine like terms: 41 + 8 = 49 -3w = 49 Divide each side by '-3'. w = -16.33333333 Simplifying w = -16.33333333
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