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Simplifying 6w + -36 = 3(w + -7) Reorder the terms: -36 + 6w = 3(w + -7) Reorder the terms: -36 + 6w = 3(-7 + w) -36 + 6w = (-7 * 3 + w * 3) -36 + 6w = (-21 + 3w) Solving -36 + 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. -36 + 6w + -3w = -21 + 3w + -3w Combine like terms: 6w + -3w = 3w -36 + 3w = -21 + 3w + -3w Combine like terms: 3w + -3w = 0 -36 + 3w = -21 + 0 -36 + 3w = -21 Add '36' to each side of the equation. -36 + 36 + 3w = -21 + 36 Combine like terms: -36 + 36 = 0 0 + 3w = -21 + 36 3w = -21 + 36 Combine like terms: -21 + 36 = 15 3w = 15 Divide each side by '3'. w = 5 Simplifying w = 5
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