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Simplifying -0.3r + -1(1 + -7r) = -5 + 3.7r -0.3r + (1 * -1 + -7r * -1) = -5 + 3.7r -0.3r + (-1 + 7r) = -5 + 3.7r Reorder the terms: -1 + -0.3r + 7r = -5 + 3.7r Combine like terms: -0.3r + 7r = 6.7r -1 + 6.7r = -5 + 3.7r Solving -1 + 6.7r = -5 + 3.7r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-3.7r' to each side of the equation. -1 + 6.7r + -3.7r = -5 + 3.7r + -3.7r Combine like terms: 6.7r + -3.7r = 3r -1 + 3r = -5 + 3.7r + -3.7r Combine like terms: 3.7r + -3.7r = 0.0 -1 + 3r = -5 + 0.0 -1 + 3r = -5 Add '1' to each side of the equation. -1 + 1 + 3r = -5 + 1 Combine like terms: -1 + 1 = 0 0 + 3r = -5 + 1 3r = -5 + 1 Combine like terms: -5 + 1 = -4 3r = -4 Divide each side by '3'. r = -1.333333333 Simplifying r = -1.333333333
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