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Simplifying 6w + -2 = 13w + 33 Reorder the terms: -2 + 6w = 13w + 33 Reorder the terms: -2 + 6w = 33 + 13w Solving -2 + 6w = 33 + 13w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-13w' to each side of the equation. -2 + 6w + -13w = 33 + 13w + -13w Combine like terms: 6w + -13w = -7w -2 + -7w = 33 + 13w + -13w Combine like terms: 13w + -13w = 0 -2 + -7w = 33 + 0 -2 + -7w = 33 Add '2' to each side of the equation. -2 + 2 + -7w = 33 + 2 Combine like terms: -2 + 2 = 0 0 + -7w = 33 + 2 -7w = 33 + 2 Combine like terms: 33 + 2 = 35 -7w = 35 Divide each side by '-7'. w = -5 Simplifying w = -5
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