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Simplifying 5w + -13 = 2(w + -4) Reorder the terms: -13 + 5w = 2(w + -4) Reorder the terms: -13 + 5w = 2(-4 + w) -13 + 5w = (-4 * 2 + w * 2) -13 + 5w = (-8 + 2w) Solving -13 + 5w = -8 + 2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2w' to each side of the equation. -13 + 5w + -2w = -8 + 2w + -2w Combine like terms: 5w + -2w = 3w -13 + 3w = -8 + 2w + -2w Combine like terms: 2w + -2w = 0 -13 + 3w = -8 + 0 -13 + 3w = -8 Add '13' to each side of the equation. -13 + 13 + 3w = -8 + 13 Combine like terms: -13 + 13 = 0 0 + 3w = -8 + 13 3w = -8 + 13 Combine like terms: -8 + 13 = 5 3w = 5 Divide each side by '3'. w = 1.666666667 Simplifying w = 1.666666667
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