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Simplifying -2 = 3(w + -14) + -5 Reorder the terms: -2 = 3(-14 + w) + -5 -2 = (-14 * 3 + w * 3) + -5 -2 = (-42 + 3w) + -5 Reorder the terms: -2 = -42 + -5 + 3w Combine like terms: -42 + -5 = -47 -2 = -47 + 3w Solving -2 = -47 + 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. -2 + -3w = -47 + 3w + -3w Combine like terms: 3w + -3w = 0 -2 + -3w = -47 + 0 -2 + -3w = -47 Add '2' to each side of the equation. -2 + 2 + -3w = -47 + 2 Combine like terms: -2 + 2 = 0 0 + -3w = -47 + 2 -3w = -47 + 2 Combine like terms: -47 + 2 = -45 -3w = -45 Divide each side by '-3'. w = 15 Simplifying w = 15
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