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Simplifying 4.4r + 48.004 = 7.8(0.06r + -1.82) + -6.5r Reorder the terms: 48.004 + 4.4r = 7.8(0.06r + -1.82) + -6.5r Reorder the terms: 48.004 + 4.4r = 7.8(-1.82 + 0.06r) + -6.5r 48.004 + 4.4r = (-1.82 * 7.8 + 0.06r * 7.8) + -6.5r 48.004 + 4.4r = (-14.196 + 0.468r) + -6.5r Combine like terms: 0.468r + -6.5r = -6.032r 48.004 + 4.4r = -14.196 + -6.032r Solving 48.004 + 4.4r = -14.196 + -6.032r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '6.032r' to each side of the equation. 48.004 + 4.4r + 6.032r = -14.196 + -6.032r + 6.032r Combine like terms: 4.4r + 6.032r = 10.432r 48.004 + 10.432r = -14.196 + -6.032r + 6.032r Combine like terms: -6.032r + 6.032r = 0.000 48.004 + 10.432r = -14.196 + 0.000 48.004 + 10.432r = -14.196 Add '-48.004' to each side of the equation. 48.004 + -48.004 + 10.432r = -14.196 + -48.004 Combine like terms: 48.004 + -48.004 = 0.000 0.000 + 10.432r = -14.196 + -48.004 10.432r = -14.196 + -48.004 Combine like terms: -14.196 + -48.004 = -62.2 10.432r = -62.2 Divide each side by '10.432'. r = -5.962423313 Simplifying r = -5.962423313
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