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Simplifying 2(-5 + -3w) = 7w + 3 (-5 * 2 + -3w * 2) = 7w + 3 (-10 + -6w) = 7w + 3 Reorder the terms: -10 + -6w = 3 + 7w Solving -10 + -6w = 3 + 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. -10 + -6w + -7w = 3 + 7w + -7w Combine like terms: -6w + -7w = -13w -10 + -13w = 3 + 7w + -7w Combine like terms: 7w + -7w = 0 -10 + -13w = 3 + 0 -10 + -13w = 3 Add '10' to each side of the equation. -10 + 10 + -13w = 3 + 10 Combine like terms: -10 + 10 = 0 0 + -13w = 3 + 10 -13w = 3 + 10 Combine like terms: 3 + 10 = 13 -13w = 13 Divide each side by '-13'. w = -1 Simplifying w = -1
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