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Simplifying 5(3w + -8) + -7w = -6(w + 2) Reorder the terms: 5(-8 + 3w) + -7w = -6(w + 2) (-8 * 5 + 3w * 5) + -7w = -6(w + 2) (-40 + 15w) + -7w = -6(w + 2) Combine like terms: 15w + -7w = 8w -40 + 8w = -6(w + 2) Reorder the terms: -40 + 8w = -6(2 + w) -40 + 8w = (2 * -6 + w * -6) -40 + 8w = (-12 + -6w) Solving -40 + 8w = -12 + -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. -40 + 8w + 6w = -12 + -6w + 6w Combine like terms: 8w + 6w = 14w -40 + 14w = -12 + -6w + 6w Combine like terms: -6w + 6w = 0 -40 + 14w = -12 + 0 -40 + 14w = -12 Add '40' to each side of the equation. -40 + 40 + 14w = -12 + 40 Combine like terms: -40 + 40 = 0 0 + 14w = -12 + 40 14w = -12 + 40 Combine like terms: -12 + 40 = 28 14w = 28 Divide each side by '14'. w = 2 Simplifying w = 2
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