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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 = -3w -21 + -3w = -42 + 6w + -6w Combine like terms: 6w + -6w = 0 -21 + -3w = -42 + 0 -21 + -3w = -42 Add '21' to each side of the equation. -21 + 21 + -3w = -42 + 21 Combine like terms: -21 + 21 = 0 0 + -3w = -42 + 21 -3w = -42 + 21 Combine like terms: -42 + 21 = -21 -3w = -21 Divide each side by '-3'. w = 7 Simplifying w = 7
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