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Simplifying -0.3r + -1(1 + -7r) = -5 + 3.7 -0.3r + (1 * -1 + -7r * -1) = -5 + 3.7 -0.3r + (-1 + 7r) = -5 + 3.7 Reorder the terms: -1 + -0.3r + 7r = -5 + 3.7 Combine like terms: -0.3r + 7r = 6.7r -1 + 6.7r = -5 + 3.7 Combine like terms: -5 + 3.7 = -1.3 -1 + 6.7r = -1.3 Solving -1 + 6.7r = -1.3 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 6.7r = -1.3 + 1 Combine like terms: -1 + 1 = 0 0 + 6.7r = -1.3 + 1 6.7r = -1.3 + 1 Combine like terms: -1.3 + 1 = -0.3 6.7r = -0.3 Divide each side by '6.7'. r = -0.0447761194 Simplifying r = -0.0447761194
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