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Simplifying 6w + -33 = 3(w + -7) Reorder the terms: -33 + 6w = 3(w + -7) Reorder the terms: -33 + 6w = 3(-7 + w) -33 + 6w = (-7 * 3 + w * 3) -33 + 6w = (-21 + 3w) Solving -33 + 6w = -21 + 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. -33 + 6w + -3w = -21 + 3w + -3w Combine like terms: 6w + -3w = 3w -33 + 3w = -21 + 3w + -3w Combine like terms: 3w + -3w = 0 -33 + 3w = -21 + 0 -33 + 3w = -21 Add '33' to each side of the equation. -33 + 33 + 3w = -21 + 33 Combine like terms: -33 + 33 = 0 0 + 3w = -21 + 33 3w = -21 + 33 Combine like terms: -21 + 33 = 12 3w = 12 Divide each side by '3'. w = 4 Simplifying w = 4
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