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Simplifying 4(-2w + -7) = 17w + 12 + -9w Reorder the terms: 4(-7 + -2w) = 17w + 12 + -9w (-7 * 4 + -2w * 4) = 17w + 12 + -9w (-28 + -8w) = 17w + 12 + -9w Reorder the terms: -28 + -8w = 12 + 17w + -9w Combine like terms: 17w + -9w = 8w -28 + -8w = 12 + 8w Solving -28 + -8w = 12 + 8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-8w' to each side of the equation. -28 + -8w + -8w = 12 + 8w + -8w Combine like terms: -8w + -8w = -16w -28 + -16w = 12 + 8w + -8w Combine like terms: 8w + -8w = 0 -28 + -16w = 12 + 0 -28 + -16w = 12 Add '28' to each side of the equation. -28 + 28 + -16w = 12 + 28 Combine like terms: -28 + 28 = 0 0 + -16w = 12 + 28 -16w = 12 + 28 Combine like terms: 12 + 28 = 40 -16w = 40 Divide each side by '-16'. w = -2.5 Simplifying w = -2.5
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