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Simplifying -18.5 = -9 + 5.5(r + -7) Reorder the terms: -18.5 = -9 + 5.5(-7 + r) -18.5 = -9 + (-7 * 5.5 + r * 5.5) -18.5 = -9 + (-38.5 + 5.5r) Combine like terms: -9 + -38.5 = -47.5 -18.5 = -47.5 + 5.5r Solving -18.5 = -47.5 + 5.5r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-5.5r' to each side of the equation. -18.5 + -5.5r = -47.5 + 5.5r + -5.5r Combine like terms: 5.5r + -5.5r = 0.0 -18.5 + -5.5r = -47.5 + 0.0 -18.5 + -5.5r = -47.5 Add '18.5' to each side of the equation. -18.5 + 18.5 + -5.5r = -47.5 + 18.5 Combine like terms: -18.5 + 18.5 = 0.0 0.0 + -5.5r = -47.5 + 18.5 -5.5r = -47.5 + 18.5 Combine like terms: -47.5 + 18.5 = -29 -5.5r = -29 Divide each side by '-5.5'. r = 5.272727273 Simplifying r = 5.272727273
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