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Simplifying -6.5 = 28.5r + -1(7.5r + 0.5) Reorder the terms: -6.5 = 28.5r + -1(0.5 + 7.5r) -6.5 = 28.5r + (0.5 * -1 + 7.5r * -1) -6.5 = 28.5r + (-0.5 + -7.5r) Reorder the terms: -6.5 = -0.5 + 28.5r + -7.5r Combine like terms: 28.5r + -7.5r = 21r -6.5 = -0.5 + 21r Solving -6.5 = -0.5 + 21r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-21r' to each side of the equation. -6.5 + -21r = -0.5 + 21r + -21r Combine like terms: 21r + -21r = 0 -6.5 + -21r = -0.5 + 0 -6.5 + -21r = -0.5 Add '6.5' to each side of the equation. -6.5 + 6.5 + -21r = -0.5 + 6.5 Combine like terms: -6.5 + 6.5 = 0.0 0.0 + -21r = -0.5 + 6.5 -21r = -0.5 + 6.5 Combine like terms: -0.5 + 6.5 = 6 -21r = 6 Divide each side by '-21'. r = -0.2857142857 Simplifying r = -0.2857142857
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