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Simplifying 6(w + -3) + -4 = -5(-5w + 6) + -9w Reorder the terms: 6(-3 + w) + -4 = -5(-5w + 6) + -9w (-3 * 6 + w * 6) + -4 = -5(-5w + 6) + -9w (-18 + 6w) + -4 = -5(-5w + 6) + -9w Reorder the terms: -18 + -4 + 6w = -5(-5w + 6) + -9w Combine like terms: -18 + -4 = -22 -22 + 6w = -5(-5w + 6) + -9w Reorder the terms: -22 + 6w = -5(6 + -5w) + -9w -22 + 6w = (6 * -5 + -5w * -5) + -9w -22 + 6w = (-30 + 25w) + -9w Combine like terms: 25w + -9w = 16w -22 + 6w = -30 + 16w Solving -22 + 6w = -30 + 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. -22 + 6w + -16w = -30 + 16w + -16w Combine like terms: 6w + -16w = -10w -22 + -10w = -30 + 16w + -16w Combine like terms: 16w + -16w = 0 -22 + -10w = -30 + 0 -22 + -10w = -30 Add '22' to each side of the equation. -22 + 22 + -10w = -30 + 22 Combine like terms: -22 + 22 = 0 0 + -10w = -30 + 22 -10w = -30 + 22 Combine like terms: -30 + 22 = -8 -10w = -8 Divide each side by '-10'. w = 0.8 Simplifying w = 0.8
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