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Simplifying 3(w + -3) + -6 = -3(-5 + 4) + -3w Reorder the terms: 3(-3 + w) + -6 = -3(-5 + 4) + -3w (-3 * 3 + w * 3) + -6 = -3(-5 + 4) + -3w (-9 + 3w) + -6 = -3(-5 + 4) + -3w Reorder the terms: -9 + -6 + 3w = -3(-5 + 4) + -3w Combine like terms: -9 + -6 = -15 -15 + 3w = -3(-5 + 4) + -3w Combine like terms: -5 + 4 = -1 -15 + 3w = -3(-1) + -3w Multiply -3 * -1 -15 + 3w = 3 + -3w Solving -15 + 3w = 3 + -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. -15 + 3w + 3w = 3 + -3w + 3w Combine like terms: 3w + 3w = 6w -15 + 6w = 3 + -3w + 3w Combine like terms: -3w + 3w = 0 -15 + 6w = 3 + 0 -15 + 6w = 3 Add '15' to each side of the equation. -15 + 15 + 6w = 3 + 15 Combine like terms: -15 + 15 = 0 0 + 6w = 3 + 15 6w = 3 + 15 Combine like terms: 3 + 15 = 18 6w = 18 Divide each side by '6'. w = 3 Simplifying w = 3
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