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Simplifying 2[w + 4] = 3w + -7 Reorder the terms: 2[4 + w] = 3w + -7 [4 * 2 + w * 2] = 3w + -7 [8 + 2w] = 3w + -7 Reorder the terms: 8 + 2w = -7 + 3w Solving 8 + 2w = -7 + 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. 8 + 2w + -3w = -7 + 3w + -3w Combine like terms: 2w + -3w = -1w 8 + -1w = -7 + 3w + -3w Combine like terms: 3w + -3w = 0 8 + -1w = -7 + 0 8 + -1w = -7 Add '-8' to each side of the equation. 8 + -8 + -1w = -7 + -8 Combine like terms: 8 + -8 = 0 0 + -1w = -7 + -8 -1w = -7 + -8 Combine like terms: -7 + -8 = -15 -1w = -15 Divide each side by '-1'. w = 15 Simplifying w = 15
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