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Simplifying 3(w + -5) = 3w + 1 + -2(-5w + -1) Reorder the terms: 3(-5 + w) = 3w + 1 + -2(-5w + -1) (-5 * 3 + w * 3) = 3w + 1 + -2(-5w + -1) (-15 + 3w) = 3w + 1 + -2(-5w + -1) Reorder the terms: -15 + 3w = 3w + 1 + -2(-1 + -5w) -15 + 3w = 3w + 1 + (-1 * -2 + -5w * -2) -15 + 3w = 3w + 1 + (2 + 10w) Reorder the terms: -15 + 3w = 1 + 2 + 3w + 10w Combine like terms: 1 + 2 = 3 -15 + 3w = 3 + 3w + 10w Combine like terms: 3w + 10w = 13w -15 + 3w = 3 + 13w Solving -15 + 3w = 3 + 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. -15 + 3w + -13w = 3 + 13w + -13w Combine like terms: 3w + -13w = -10w -15 + -10w = 3 + 13w + -13w Combine like terms: 13w + -13w = 0 -15 + -10w = 3 + 0 -15 + -10w = 3 Add '15' to each side of the equation. -15 + 15 + -10w = 3 + 15 Combine like terms: -15 + 15 = 0 0 + -10w = 3 + 15 -10w = 3 + 15 Combine like terms: 3 + 15 = 18 -10w = 18 Divide each side by '-10'. w = -1.8 Simplifying w = -1.8
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