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Simplifying 0.6r + 3 = 0.1r + -7 Reorder the terms: 3 + 0.6r = 0.1r + -7 Reorder the terms: 3 + 0.6r = -7 + 0.1r Solving 3 + 0.6r = -7 + 0.1r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-0.1r' to each side of the equation. 3 + 0.6r + -0.1r = -7 + 0.1r + -0.1r Combine like terms: 0.6r + -0.1r = 0.5r 3 + 0.5r = -7 + 0.1r + -0.1r Combine like terms: 0.1r + -0.1r = 0.0 3 + 0.5r = -7 + 0.0 3 + 0.5r = -7 Add '-3' to each side of the equation. 3 + -3 + 0.5r = -7 + -3 Combine like terms: 3 + -3 = 0 0 + 0.5r = -7 + -3 0.5r = -7 + -3 Combine like terms: -7 + -3 = -10 0.5r = -10 Divide each side by '0.5'. r = -20 Simplifying r = -20
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