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Simplifying 0.3r + 2 = -0.1 + -2r + -4 Reorder the terms: 2 + 0.3r = -0.1 + -2r + -4 Reorder the terms: 2 + 0.3r = -0.1 + -4 + -2r Combine like terms: -0.1 + -4 = -4.1 2 + 0.3r = -4.1 + -2r Solving 2 + 0.3r = -4.1 + -2r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '2r' to each side of the equation. 2 + 0.3r + 2r = -4.1 + -2r + 2r Combine like terms: 0.3r + 2r = 2.3r 2 + 2.3r = -4.1 + -2r + 2r Combine like terms: -2r + 2r = 0 2 + 2.3r = -4.1 + 0 2 + 2.3r = -4.1 Add '-2' to each side of the equation. 2 + -2 + 2.3r = -4.1 + -2 Combine like terms: 2 + -2 = 0 0 + 2.3r = -4.1 + -2 2.3r = -4.1 + -2 Combine like terms: -4.1 + -2 = -6.1 2.3r = -6.1 Divide each side by '2.3'. r = -2.652173913 Simplifying r = -2.652173913
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