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Simplifying 8(6r + 4) + -2(7 + 5r) = 0 Reorder the terms: 8(4 + 6r) + -2(7 + 5r) = 0 (4 * 8 + 6r * 8) + -2(7 + 5r) = 0 (32 + 48r) + -2(7 + 5r) = 0 32 + 48r + (7 * -2 + 5r * -2) = 0 32 + 48r + (-14 + -10r) = 0 Reorder the terms: 32 + -14 + 48r + -10r = 0 Combine like terms: 32 + -14 = 18 18 + 48r + -10r = 0 Combine like terms: 48r + -10r = 38r 18 + 38r = 0 Solving 18 + 38r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + 38r = 0 + -18 Combine like terms: 18 + -18 = 0 0 + 38r = 0 + -18 38r = 0 + -18 Combine like terms: 0 + -18 = -18 38r = -18 Divide each side by '38'. r = -0.4736842105 Simplifying r = -0.4736842105
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