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Simplifying 4(w + -3) + -7 = -3(-7w + 3) + -5w Reorder the terms: 4(-3 + w) + -7 = -3(-7w + 3) + -5w (-3 * 4 + w * 4) + -7 = -3(-7w + 3) + -5w (-12 + 4w) + -7 = -3(-7w + 3) + -5w Reorder the terms: -12 + -7 + 4w = -3(-7w + 3) + -5w Combine like terms: -12 + -7 = -19 -19 + 4w = -3(-7w + 3) + -5w Reorder the terms: -19 + 4w = -3(3 + -7w) + -5w -19 + 4w = (3 * -3 + -7w * -3) + -5w -19 + 4w = (-9 + 21w) + -5w Combine like terms: 21w + -5w = 16w -19 + 4w = -9 + 16w Solving -19 + 4w = -9 + 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. -19 + 4w + -16w = -9 + 16w + -16w Combine like terms: 4w + -16w = -12w -19 + -12w = -9 + 16w + -16w Combine like terms: 16w + -16w = 0 -19 + -12w = -9 + 0 -19 + -12w = -9 Add '19' to each side of the equation. -19 + 19 + -12w = -9 + 19 Combine like terms: -19 + 19 = 0 0 + -12w = -9 + 19 -12w = -9 + 19 Combine like terms: -9 + 19 = 10 -12w = 10 Divide each side by '-12'. w = -0.8333333333 Simplifying w = -0.8333333333
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