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Simplifying 7.8 = (10 + r)(1) Reorder the terms for easier multiplication: 7.8 = 1(10 + r) 7.8 = (10 * 1 + r * 1) 7.8 = (10 + 1r) Solving 7.8 = 10 + 1r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-1r' to each side of the equation. 7.8 + -1r = 10 + 1r + -1r Combine like terms: 1r + -1r = 0 7.8 + -1r = 10 + 0 7.8 + -1r = 10 Add '-7.8' to each side of the equation. 7.8 + -7.8 + -1r = 10 + -7.8 Combine like terms: 7.8 + -7.8 = 0.0 0.0 + -1r = 10 + -7.8 -1r = 10 + -7.8 Combine like terms: 10 + -7.8 = 2.2 -1r = 2.2 Divide each side by '-1'. r = -2.2 Simplifying r = -2.2
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