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Simplifying -1[3] * w + 7 = -1[9] * w + 49 Multiply -1 * 3 -3w + 7 = -1[9] * w + 49 Reorder the terms: 7 + -3w = -1[9] * w + 49 Multiply -1 * 9 7 + -3w = -9w + 49 Reorder the terms: 7 + -3w = 49 + -9w Solving 7 + -3w = 49 + -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. 7 + -3w + 9w = 49 + -9w + 9w Combine like terms: -3w + 9w = 6w 7 + 6w = 49 + -9w + 9w Combine like terms: -9w + 9w = 0 7 + 6w = 49 + 0 7 + 6w = 49 Add '-7' to each side of the equation. 7 + -7 + 6w = 49 + -7 Combine like terms: 7 + -7 = 0 0 + 6w = 49 + -7 6w = 49 + -7 Combine like terms: 49 + -7 = 42 6w = 42 Divide each side by '6'. w = 7 Simplifying w = 7
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