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Simplifying 6(w + -2) + -9 = -5(-5w + 5) + -3w Reorder the terms: 6(-2 + w) + -9 = -5(-5w + 5) + -3w (-2 * 6 + w * 6) + -9 = -5(-5w + 5) + -3w (-12 + 6w) + -9 = -5(-5w + 5) + -3w Reorder the terms: -12 + -9 + 6w = -5(-5w + 5) + -3w Combine like terms: -12 + -9 = -21 -21 + 6w = -5(-5w + 5) + -3w Reorder the terms: -21 + 6w = -5(5 + -5w) + -3w -21 + 6w = (5 * -5 + -5w * -5) + -3w -21 + 6w = (-25 + 25w) + -3w Combine like terms: 25w + -3w = 22w -21 + 6w = -25 + 22w Solving -21 + 6w = -25 + 22w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-22w' to each side of the equation. -21 + 6w + -22w = -25 + 22w + -22w Combine like terms: 6w + -22w = -16w -21 + -16w = -25 + 22w + -22w Combine like terms: 22w + -22w = 0 -21 + -16w = -25 + 0 -21 + -16w = -25 Add '21' to each side of the equation. -21 + 21 + -16w = -25 + 21 Combine like terms: -21 + 21 = 0 0 + -16w = -25 + 21 -16w = -25 + 21 Combine like terms: -25 + 21 = -4 -16w = -4 Divide each side by '-16'. w = 0.25 Simplifying w = 0.25
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