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Simplifying 3w + -21 = -6(w + -7) Reorder the terms: -21 + 3w = -6(w + -7) Reorder the terms: -21 + 3w = -6(-7 + w) -21 + 3w = (-7 * -6 + w * -6) -21 + 3w = (42 + -6w) Solving -21 + 3w = 42 + -6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '6w' to each side of the equation. -21 + 3w + 6w = 42 + -6w + 6w Combine like terms: 3w + 6w = 9w -21 + 9w = 42 + -6w + 6w Combine like terms: -6w + 6w = 0 -21 + 9w = 42 + 0 -21 + 9w = 42 Add '21' to each side of the equation. -21 + 21 + 9w = 42 + 21 Combine like terms: -21 + 21 = 0 0 + 9w = 42 + 21 9w = 42 + 21 Combine like terms: 42 + 21 = 63 9w = 63 Divide each side by '9'. w = 7 Simplifying w = 7
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