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Simplifying 8w + -5(w + 3) = 4x + -6 Reorder the terms: 8w + -5(3 + w) = 4x + -6 8w + (3 * -5 + w * -5) = 4x + -6 8w + (-15 + -5w) = 4x + -6 Reorder the terms: -15 + 8w + -5w = 4x + -6 Combine like terms: 8w + -5w = 3w -15 + 3w = 4x + -6 Reorder the terms: -15 + 3w = -6 + 4x Solving -15 + 3w = -6 + 4x Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 3w = -6 + 15 + 4x Combine like terms: -15 + 15 = 0 0 + 3w = -6 + 15 + 4x 3w = -6 + 15 + 4x Combine like terms: -6 + 15 = 9 3w = 9 + 4x Divide each side by '3'. w = 3 + 1.333333333x Simplifying w = 3 + 1.333333333x
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