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Simplifying 4(w + -2) + -3 = -3(-7w + 7) + -5w Reorder the terms: 4(-2 + w) + -3 = -3(-7w + 7) + -5w (-2 * 4 + w * 4) + -3 = -3(-7w + 7) + -5w (-8 + 4w) + -3 = -3(-7w + 7) + -5w Reorder the terms: -8 + -3 + 4w = -3(-7w + 7) + -5w Combine like terms: -8 + -3 = -11 -11 + 4w = -3(-7w + 7) + -5w Reorder the terms: -11 + 4w = -3(7 + -7w) + -5w -11 + 4w = (7 * -3 + -7w * -3) + -5w -11 + 4w = (-21 + 21w) + -5w Combine like terms: 21w + -5w = 16w -11 + 4w = -21 + 16w Solving -11 + 4w = -21 + 16w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-16w' to each side of the equation. -11 + 4w + -16w = -21 + 16w + -16w Combine like terms: 4w + -16w = -12w -11 + -12w = -21 + 16w + -16w Combine like terms: 16w + -16w = 0 -11 + -12w = -21 + 0 -11 + -12w = -21 Add '11' to each side of the equation. -11 + 11 + -12w = -21 + 11 Combine like terms: -11 + 11 = 0 0 + -12w = -21 + 11 -12w = -21 + 11 Combine like terms: -21 + 11 = -10 -12w = -10 Divide each side by '-12'. w = 0.8333333333 Simplifying w = 0.8333333333
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