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Simplifying 3w + -21 = 3(3w + -5) Reorder the terms: -21 + 3w = 3(3w + -5) Reorder the terms: -21 + 3w = 3(-5 + 3w) -21 + 3w = (-5 * 3 + 3w * 3) -21 + 3w = (-15 + 9w) Solving -21 + 3w = -15 + 9w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-9w' to each side of the equation. -21 + 3w + -9w = -15 + 9w + -9w Combine like terms: 3w + -9w = -6w -21 + -6w = -15 + 9w + -9w Combine like terms: 9w + -9w = 0 -21 + -6w = -15 + 0 -21 + -6w = -15 Add '21' to each side of the equation. -21 + 21 + -6w = -15 + 21 Combine like terms: -21 + 21 = 0 0 + -6w = -15 + 21 -6w = -15 + 21 Combine like terms: -15 + 21 = 6 -6w = 6 Divide each side by '-6'. w = -1 Simplifying w = -1
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