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Simplifying -3(w + 5) + 8 = 28 Reorder the terms: -3(5 + w) + 8 = 28 (5 * -3 + w * -3) + 8 = 28 (-15 + -3w) + 8 = 28 Reorder the terms: -15 + 8 + -3w = 28 Combine like terms: -15 + 8 = -7 -7 + -3w = 28 Solving -7 + -3w = 28 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -3w = 28 + 7 Combine like terms: -7 + 7 = 0 0 + -3w = 28 + 7 -3w = 28 + 7 Combine like terms: 28 + 7 = 35 -3w = 35 Divide each side by '-3'. w = -11.66666667 Simplifying w = -11.66666667
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