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Simplifying 7w + 7 = 19w + -3w + 61 Reorder the terms: 7 + 7w = 19w + -3w + 61 Reorder the terms: 7 + 7w = 61 + 19w + -3w Combine like terms: 19w + -3w = 16w 7 + 7w = 61 + 16w Solving 7 + 7w = 61 + 16w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-16w' to each side of the equation. 7 + 7w + -16w = 61 + 16w + -16w Combine like terms: 7w + -16w = -9w 7 + -9w = 61 + 16w + -16w Combine like terms: 16w + -16w = 0 7 + -9w = 61 + 0 7 + -9w = 61 Add '-7' to each side of the equation. 7 + -7 + -9w = 61 + -7 Combine like terms: 7 + -7 = 0 0 + -9w = 61 + -7 -9w = 61 + -7 Combine like terms: 61 + -7 = 54 -9w = 54 Divide each side by '-9'. w = -6 Simplifying w = -6
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