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Simplifying 0.4r + -7 = -0.3r + 2.8 Reorder the terms: -7 + 0.4r = -0.3r + 2.8 Reorder the terms: -7 + 0.4r = 2.8 + -0.3r Solving -7 + 0.4r = 2.8 + -0.3r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '0.3r' to each side of the equation. -7 + 0.4r + 0.3r = 2.8 + -0.3r + 0.3r Combine like terms: 0.4r + 0.3r = 0.7r -7 + 0.7r = 2.8 + -0.3r + 0.3r Combine like terms: -0.3r + 0.3r = 0.0 -7 + 0.7r = 2.8 + 0.0 -7 + 0.7r = 2.8 Add '7' to each side of the equation. -7 + 7 + 0.7r = 2.8 + 7 Combine like terms: -7 + 7 = 0 0 + 0.7r = 2.8 + 7 0.7r = 2.8 + 7 Combine like terms: 2.8 + 7 = 9.8 0.7r = 9.8 Divide each side by '0.7'. r = 14 Simplifying r = 14
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