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Simplifying 14w + -3r + -4 + -10w + 12r + -5 = 0 Reorder the terms: -4 + -5 + -3r + 12r + 14w + -10w = 0 Combine like terms: -4 + -5 = -9 -9 + -3r + 12r + 14w + -10w = 0 Combine like terms: -3r + 12r = 9r -9 + 9r + 14w + -10w = 0 Combine like terms: 14w + -10w = 4w -9 + 9r + 4w = 0 Solving -9 + 9r + 4w = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9r + 9 + 4w = 0 + 9 Reorder the terms: -9 + 9 + 9r + 4w = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 9r + 4w = 0 + 9 9r + 4w = 0 + 9 Combine like terms: 0 + 9 = 9 9r + 4w = 9 Add '-4w' to each side of the equation. 9r + 4w + -4w = 9 + -4w Combine like terms: 4w + -4w = 0 9r + 0 = 9 + -4w 9r = 9 + -4w Divide each side by '9'. r = 1 + -0.4444444444w Simplifying r = 1 + -0.4444444444w
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