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Simplifying -6.5r + -6 = 3.5r + 9 Reorder the terms: -6 + -6.5r = 3.5r + 9 Reorder the terms: -6 + -6.5r = 9 + 3.5r Solving -6 + -6.5r = 9 + 3.5r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-3.5r' to each side of the equation. -6 + -6.5r + -3.5r = 9 + 3.5r + -3.5r Combine like terms: -6.5r + -3.5r = -10r -6 + -10r = 9 + 3.5r + -3.5r Combine like terms: 3.5r + -3.5r = 0.0 -6 + -10r = 9 + 0.0 -6 + -10r = 9 Add '6' to each side of the equation. -6 + 6 + -10r = 9 + 6 Combine like terms: -6 + 6 = 0 0 + -10r = 9 + 6 -10r = 9 + 6 Combine like terms: 9 + 6 = 15 -10r = 15 Divide each side by '-10'. r = -1.5 Simplifying r = -1.5
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