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Simplifying -1[3] * w + 2 = -1[10] * w + 30 Multiply -1 * 3 -3w + 2 = -1[10] * w + 30 Reorder the terms: 2 + -3w = -1[10] * w + 30 Multiply -1 * 10 2 + -3w = -10w + 30 Reorder the terms: 2 + -3w = 30 + -10w Solving 2 + -3w = 30 + -10w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '10w' to each side of the equation. 2 + -3w + 10w = 30 + -10w + 10w Combine like terms: -3w + 10w = 7w 2 + 7w = 30 + -10w + 10w Combine like terms: -10w + 10w = 0 2 + 7w = 30 + 0 2 + 7w = 30 Add '-2' to each side of the equation. 2 + -2 + 7w = 30 + -2 Combine like terms: 2 + -2 = 0 0 + 7w = 30 + -2 7w = 30 + -2 Combine like terms: 30 + -2 = 28 7w = 28 Divide each side by '7'. w = 4 Simplifying w = 4
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