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Simplifying 7(w + -1) = 7w + 3 + -2(-8w + -4) Reorder the terms: 7(-1 + w) = 7w + 3 + -2(-8w + -4) (-1 * 7 + w * 7) = 7w + 3 + -2(-8w + -4) (-7 + 7w) = 7w + 3 + -2(-8w + -4) Reorder the terms: -7 + 7w = 7w + 3 + -2(-4 + -8w) -7 + 7w = 7w + 3 + (-4 * -2 + -8w * -2) -7 + 7w = 7w + 3 + (8 + 16w) Reorder the terms: -7 + 7w = 3 + 8 + 7w + 16w Combine like terms: 3 + 8 = 11 -7 + 7w = 11 + 7w + 16w Combine like terms: 7w + 16w = 23w -7 + 7w = 11 + 23w Solving -7 + 7w = 11 + 23w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-23w' to each side of the equation. -7 + 7w + -23w = 11 + 23w + -23w Combine like terms: 7w + -23w = -16w -7 + -16w = 11 + 23w + -23w Combine like terms: 23w + -23w = 0 -7 + -16w = 11 + 0 -7 + -16w = 11 Add '7' to each side of the equation. -7 + 7 + -16w = 11 + 7 Combine like terms: -7 + 7 = 0 0 + -16w = 11 + 7 -16w = 11 + 7 Combine like terms: 11 + 7 = 18 -16w = 18 Divide each side by '-16'. w = -1.125 Simplifying w = -1.125
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