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Simplifying 0.4r + -0.5 = 5.3r + 0.7 Reorder the terms: -0.5 + 0.4r = 5.3r + 0.7 Reorder the terms: -0.5 + 0.4r = 0.7 + 5.3r Solving -0.5 + 0.4r = 0.7 + 5.3r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-5.3r' to each side of the equation. -0.5 + 0.4r + -5.3r = 0.7 + 5.3r + -5.3r Combine like terms: 0.4r + -5.3r = -4.9r -0.5 + -4.9r = 0.7 + 5.3r + -5.3r Combine like terms: 5.3r + -5.3r = 0.0 -0.5 + -4.9r = 0.7 + 0.0 -0.5 + -4.9r = 0.7 Add '0.5' to each side of the equation. -0.5 + 0.5 + -4.9r = 0.7 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.0 + -4.9r = 0.7 + 0.5 -4.9r = 0.7 + 0.5 Combine like terms: 0.7 + 0.5 = 1.2 -4.9r = 1.2 Divide each side by '-4.9'. r = -0.2448979592 Simplifying r = -0.2448979592
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