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Simplifying 5 + -3(w + 9) = w + -7 Reorder the terms: 5 + -3(9 + w) = w + -7 5 + (9 * -3 + w * -3) = w + -7 5 + (-27 + -3w) = w + -7 Combine like terms: 5 + -27 = -22 -22 + -3w = w + -7 Reorder the terms: -22 + -3w = -7 + w Solving -22 + -3w = -7 + w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1w' to each side of the equation. -22 + -3w + -1w = -7 + w + -1w Combine like terms: -3w + -1w = -4w -22 + -4w = -7 + w + -1w Combine like terms: w + -1w = 0 -22 + -4w = -7 + 0 -22 + -4w = -7 Add '22' to each side of the equation. -22 + 22 + -4w = -7 + 22 Combine like terms: -22 + 22 = 0 0 + -4w = -7 + 22 -4w = -7 + 22 Combine like terms: -7 + 22 = 15 -4w = 15 Divide each side by '-4'. w = -3.75 Simplifying w = -3.75
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