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Simplifying 7(w + -3) + -7 = -5(-5w + 4) + -2w Reorder the terms: 7(-3 + w) + -7 = -5(-5w + 4) + -2w (-3 * 7 + w * 7) + -7 = -5(-5w + 4) + -2w (-21 + 7w) + -7 = -5(-5w + 4) + -2w Reorder the terms: -21 + -7 + 7w = -5(-5w + 4) + -2w Combine like terms: -21 + -7 = -28 -28 + 7w = -5(-5w + 4) + -2w Reorder the terms: -28 + 7w = -5(4 + -5w) + -2w -28 + 7w = (4 * -5 + -5w * -5) + -2w -28 + 7w = (-20 + 25w) + -2w Combine like terms: 25w + -2w = 23w -28 + 7w = -20 + 23w Solving -28 + 7w = -20 + 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. -28 + 7w + -23w = -20 + 23w + -23w Combine like terms: 7w + -23w = -16w -28 + -16w = -20 + 23w + -23w Combine like terms: 23w + -23w = 0 -28 + -16w = -20 + 0 -28 + -16w = -20 Add '28' to each side of the equation. -28 + 28 + -16w = -20 + 28 Combine like terms: -28 + 28 = 0 0 + -16w = -20 + 28 -16w = -20 + 28 Combine like terms: -20 + 28 = 8 -16w = 8 Divide each side by '-16'. w = -0.5 Simplifying w = -0.5
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