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Simplifying 4.4r + 48.004 = 7.8(0.6r + -18.2) + -6.5r Reorder the terms: 48.004 + 4.4r = 7.8(0.6r + -18.2) + -6.5r Reorder the terms: 48.004 + 4.4r = 7.8(-18.2 + 0.6r) + -6.5r 48.004 + 4.4r = (-18.2 * 7.8 + 0.6r * 7.8) + -6.5r 48.004 + 4.4r = (-141.96 + 4.68r) + -6.5r Combine like terms: 4.68r + -6.5r = -1.82r 48.004 + 4.4r = -141.96 + -1.82r Solving 48.004 + 4.4r = -141.96 + -1.82r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '1.82r' to each side of the equation. 48.004 + 4.4r + 1.82r = -141.96 + -1.82r + 1.82r Combine like terms: 4.4r + 1.82r = 6.22r 48.004 + 6.22r = -141.96 + -1.82r + 1.82r Combine like terms: -1.82r + 1.82r = 0.00 48.004 + 6.22r = -141.96 + 0.00 48.004 + 6.22r = -141.96 Add '-48.004' to each side of the equation. 48.004 + -48.004 + 6.22r = -141.96 + -48.004 Combine like terms: 48.004 + -48.004 = 0.000 0.000 + 6.22r = -141.96 + -48.004 6.22r = -141.96 + -48.004 Combine like terms: -141.96 + -48.004 = -189.964 6.22r = -189.964 Divide each side by '6.22'. r = -30.54083601 Simplifying r = -30.54083601
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