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Simplifying 7w + -13 = 9(w + -3) Reorder the terms: -13 + 7w = 9(w + -3) Reorder the terms: -13 + 7w = 9(-3 + w) -13 + 7w = (-3 * 9 + w * 9) -13 + 7w = (-27 + 9w) Solving -13 + 7w = -27 + 9w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-9w' to each side of the equation. -13 + 7w + -9w = -27 + 9w + -9w Combine like terms: 7w + -9w = -2w -13 + -2w = -27 + 9w + -9w Combine like terms: 9w + -9w = 0 -13 + -2w = -27 + 0 -13 + -2w = -27 Add '13' to each side of the equation. -13 + 13 + -2w = -27 + 13 Combine like terms: -13 + 13 = 0 0 + -2w = -27 + 13 -2w = -27 + 13 Combine like terms: -27 + 13 = -14 -2w = -14 Divide each side by '-2'. w = 7 Simplifying w = 7
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