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Simplifying 21.32(19.8 + -38.1r) = 16.6(-32.3 + -28.6r) (19.8 * 21.32 + -38.1r * 21.32) = 16.6(-32.3 + -28.6r) (422.136 + -812.292r) = 16.6(-32.3 + -28.6r) 422.136 + -812.292r = (-32.3 * 16.6 + -28.6r * 16.6) 422.136 + -812.292r = (-536.18 + -474.76r) Solving 422.136 + -812.292r = -536.18 + -474.76r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '474.76r' to each side of the equation. 422.136 + -812.292r + 474.76r = -536.18 + -474.76r + 474.76r Combine like terms: -812.292r + 474.76r = -337.532r 422.136 + -337.532r = -536.18 + -474.76r + 474.76r Combine like terms: -474.76r + 474.76r = 0.00 422.136 + -337.532r = -536.18 + 0.00 422.136 + -337.532r = -536.18 Add '-422.136' to each side of the equation. 422.136 + -422.136 + -337.532r = -536.18 + -422.136 Combine like terms: 422.136 + -422.136 = 0.000 0.000 + -337.532r = -536.18 + -422.136 -337.532r = -536.18 + -422.136 Combine like terms: -536.18 + -422.136 = -958.316 -337.532r = -958.316 Divide each side by '-337.532'. r = 2.839185618 Simplifying r = 2.839185618
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