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Simplifying 4.4r + 48.004 = 7.8(0.6 + -1.82) + -6.5r Reorder the terms: 48.004 + 4.4r = 7.8(0.6 + -1.82) + -6.5r Combine like terms: 0.6 + -1.82 = -1.22 48.004 + 4.4r = 7.8(-1.22) + -6.5r Multiply 7.8 * -1.22 48.004 + 4.4r = -9.516 + -6.5r Solving 48.004 + 4.4r = -9.516 + -6.5r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '6.5r' to each side of the equation. 48.004 + 4.4r + 6.5r = -9.516 + -6.5r + 6.5r Combine like terms: 4.4r + 6.5r = 10.9r 48.004 + 10.9r = -9.516 + -6.5r + 6.5r Combine like terms: -6.5r + 6.5r = 0.0 48.004 + 10.9r = -9.516 + 0.0 48.004 + 10.9r = -9.516 Add '-48.004' to each side of the equation. 48.004 + -48.004 + 10.9r = -9.516 + -48.004 Combine like terms: 48.004 + -48.004 = 0.000 0.000 + 10.9r = -9.516 + -48.004 10.9r = -9.516 + -48.004 Combine like terms: -9.516 + -48.004 = -57.52 10.9r = -57.52 Divide each side by '10.9'. r = -5.27706422 Simplifying r = -5.27706422
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