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Simplifying -5w + 6 + -4r + 3w * 3 + -2 = 0 Reorder the terms for easier multiplication: -5w + 6 + -4r + 3 * 3w + -2 = 0 Multiply 3 * 3 -5w + 6 + -4r + 9w + -2 = 0 Reorder the terms: 6 + -2 + -4r + -5w + 9w = 0 Combine like terms: 6 + -2 = 4 4 + -4r + -5w + 9w = 0 Combine like terms: -5w + 9w = 4w 4 + -4r + 4w = 0 Solving 4 + -4r + 4w = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4r + -4 + 4w = 0 + -4 Reorder the terms: 4 + -4 + -4r + 4w = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -4r + 4w = 0 + -4 -4r + 4w = 0 + -4 Combine like terms: 0 + -4 = -4 -4r + 4w = -4 Add '-4w' to each side of the equation. -4r + 4w + -4w = -4 + -4w Combine like terms: 4w + -4w = 0 -4r + 0 = -4 + -4w -4r = -4 + -4w Divide each side by '-4'. r = 1 + w Simplifying r = 1 + w
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