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Simplifying -1(1 + 0.3r) = -13 + 7.7r (1 * -1 + 0.3r * -1) = -13 + 7.7r (-1 + -0.3r) = -13 + 7.7r Solving -1 + -0.3r = -13 + 7.7r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-7.7r' to each side of the equation. -1 + -0.3r + -7.7r = -13 + 7.7r + -7.7r Combine like terms: -0.3r + -7.7r = -8r -1 + -8r = -13 + 7.7r + -7.7r Combine like terms: 7.7r + -7.7r = 0.0 -1 + -8r = -13 + 0.0 -1 + -8r = -13 Add '1' to each side of the equation. -1 + 1 + -8r = -13 + 1 Combine like terms: -1 + 1 = 0 0 + -8r = -13 + 1 -8r = -13 + 1 Combine like terms: -13 + 1 = -12 -8r = -12 Divide each side by '-8'. r = 1.5 Simplifying r = 1.5
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