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Simplifying 6(w + -1) + -6 = -6(-4w + 5) + -2w Reorder the terms: 6(-1 + w) + -6 = -6(-4w + 5) + -2w (-1 * 6 + w * 6) + -6 = -6(-4w + 5) + -2w (-6 + 6w) + -6 = -6(-4w + 5) + -2w Reorder the terms: -6 + -6 + 6w = -6(-4w + 5) + -2w Combine like terms: -6 + -6 = -12 -12 + 6w = -6(-4w + 5) + -2w Reorder the terms: -12 + 6w = -6(5 + -4w) + -2w -12 + 6w = (5 * -6 + -4w * -6) + -2w -12 + 6w = (-30 + 24w) + -2w Combine like terms: 24w + -2w = 22w -12 + 6w = -30 + 22w Solving -12 + 6w = -30 + 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. -12 + 6w + -22w = -30 + 22w + -22w Combine like terms: 6w + -22w = -16w -12 + -16w = -30 + 22w + -22w Combine like terms: 22w + -22w = 0 -12 + -16w = -30 + 0 -12 + -16w = -30 Add '12' to each side of the equation. -12 + 12 + -16w = -30 + 12 Combine like terms: -12 + 12 = 0 0 + -16w = -30 + 12 -16w = -30 + 12 Combine like terms: -30 + 12 = -18 -16w = -18 Divide each side by '-16'. w = 1.125 Simplifying w = 1.125
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