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Simplifying 4(-2w + -7) = 8w + 4 Reorder the terms: 4(-7 + -2w) = 8w + 4 (-7 * 4 + -2w * 4) = 8w + 4 (-28 + -8w) = 8w + 4 Reorder the terms: -28 + -8w = 4 + 8w Solving -28 + -8w = 4 + 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 = 4 + 8w + -8w Combine like terms: -8w + -8w = -16w -28 + -16w = 4 + 8w + -8w Combine like terms: 8w + -8w = 0 -28 + -16w = 4 + 0 -28 + -16w = 4 Add '28' to each side of the equation. -28 + 28 + -16w = 4 + 28 Combine like terms: -28 + 28 = 0 0 + -16w = 4 + 28 -16w = 4 + 28 Combine like terms: 4 + 28 = 32 -16w = 32 Divide each side by '-16'. w = -2 Simplifying w = -2
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