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Simplifying 6(w + -2) + 2 = (3w + -5) Reorder the terms: 6(-2 + w) + 2 = (3w + -5) (-2 * 6 + w * 6) + 2 = (3w + -5) (-12 + 6w) + 2 = (3w + -5) Reorder the terms: -12 + 2 + 6w = (3w + -5) Combine like terms: -12 + 2 = -10 -10 + 6w = (3w + -5) Reorder the terms: -10 + 6w = (-5 + 3w) Remove parenthesis around (-5 + 3w) -10 + 6w = -5 + 3w Solving -10 + 6w = -5 + 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. -10 + 6w + -3w = -5 + 3w + -3w Combine like terms: 6w + -3w = 3w -10 + 3w = -5 + 3w + -3w Combine like terms: 3w + -3w = 0 -10 + 3w = -5 + 0 -10 + 3w = -5 Add '10' to each side of the equation. -10 + 10 + 3w = -5 + 10 Combine like terms: -10 + 10 = 0 0 + 3w = -5 + 10 3w = -5 + 10 Combine like terms: -5 + 10 = 5 3w = 5 Divide each side by '3'. w = 1.666666667 Simplifying w = 1.666666667
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