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Simplifying 3w + -33 = 8(w + -1) Reorder the terms: -33 + 3w = 8(w + -1) Reorder the terms: -33 + 3w = 8(-1 + w) -33 + 3w = (-1 * 8 + w * 8) -33 + 3w = (-8 + 8w) Solving -33 + 3w = -8 + 8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-8w' to each side of the equation. -33 + 3w + -8w = -8 + 8w + -8w Combine like terms: 3w + -8w = -5w -33 + -5w = -8 + 8w + -8w Combine like terms: 8w + -8w = 0 -33 + -5w = -8 + 0 -33 + -5w = -8 Add '33' to each side of the equation. -33 + 33 + -5w = -8 + 33 Combine like terms: -33 + 33 = 0 0 + -5w = -8 + 33 -5w = -8 + 33 Combine like terms: -8 + 33 = 25 -5w = 25 Divide each side by '-5'. w = -5 Simplifying w = -5
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