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Simplifying 3.9 + -0.2r = 5r + -1(6r + -3.4) Reorder the terms: 3.9 + -0.2r = 5r + -1(-3.4 + 6r) 3.9 + -0.2r = 5r + (-3.4 * -1 + 6r * -1) 3.9 + -0.2r = 5r + (3.4 + -6r) Reorder the terms: 3.9 + -0.2r = 3.4 + 5r + -6r Combine like terms: 5r + -6r = -1r 3.9 + -0.2r = 3.4 + -1r Solving 3.9 + -0.2r = 3.4 + -1r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add 'r' to each side of the equation. 3.9 + -0.2r + r = 3.4 + -1r + r Combine like terms: -0.2r + r = 0.8r 3.9 + 0.8r = 3.4 + -1r + r Combine like terms: -1r + r = 0 3.9 + 0.8r = 3.4 + 0 3.9 + 0.8r = 3.4 Add '-3.9' to each side of the equation. 3.9 + -3.9 + 0.8r = 3.4 + -3.9 Combine like terms: 3.9 + -3.9 = 0.0 0.0 + 0.8r = 3.4 + -3.9 0.8r = 3.4 + -3.9 Combine like terms: 3.4 + -3.9 = -0.5 0.8r = -0.5 Divide each side by '0.8'. r = -0.625 Simplifying r = -0.625
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