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Simplifying -4.5 + -20.5r = r + -1(7.5r + 0.5) Reorder the terms: -4.5 + -20.5r = r + -1(0.5 + 7.5r) -4.5 + -20.5r = r + (0.5 * -1 + 7.5r * -1) -4.5 + -20.5r = r + (-0.5 + -7.5r) Reorder the terms: -4.5 + -20.5r = -0.5 + r + -7.5r Combine like terms: r + -7.5r = -6.5r -4.5 + -20.5r = -0.5 + -6.5r Solving -4.5 + -20.5r = -0.5 + -6.5r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '6.5r' to each side of the equation. -4.5 + -20.5r + 6.5r = -0.5 + -6.5r + 6.5r Combine like terms: -20.5r + 6.5r = -14r -4.5 + -14r = -0.5 + -6.5r + 6.5r Combine like terms: -6.5r + 6.5r = 0.0 -4.5 + -14r = -0.5 + 0.0 -4.5 + -14r = -0.5 Add '4.5' to each side of the equation. -4.5 + 4.5 + -14r = -0.5 + 4.5 Combine like terms: -4.5 + 4.5 = 0.0 0.0 + -14r = -0.5 + 4.5 -14r = -0.5 + 4.5 Combine like terms: -0.5 + 4.5 = 4 -14r = 4 Divide each side by '-14'. r = -0.2857142857 Simplifying r = -0.2857142857
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