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Simplifying -18.5 = -7.5 + 3.5(r + 2.5) Reorder the terms: -18.5 = -7.5 + 3.5(2.5 + r) -18.5 = -7.5 + (2.5 * 3.5 + r * 3.5) -18.5 = -7.5 + (8.75 + 3.5r) Combine like terms: -7.5 + 8.75 = 1.25 -18.5 = 1.25 + 3.5r Solving -18.5 = 1.25 + 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. -18.5 + -3.5r = 1.25 + 3.5r + -3.5r Combine like terms: 3.5r + -3.5r = 0.0 -18.5 + -3.5r = 1.25 + 0.0 -18.5 + -3.5r = 1.25 Add '18.5' to each side of the equation. -18.5 + 18.5 + -3.5r = 1.25 + 18.5 Combine like terms: -18.5 + 18.5 = 0.0 0.0 + -3.5r = 1.25 + 18.5 -3.5r = 1.25 + 18.5 Combine like terms: 1.25 + 18.5 = 19.75 -3.5r = 19.75 Divide each side by '-3.5'. r = -5.642857143 Simplifying r = -5.642857143
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