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Simplifying 10.9 + 2.8r + 8(10.9r + -1) = 0 Reorder the terms: 10.9 + 2.8r + 8(-1 + 10.9r) = 0 10.9 + 2.8r + (-1 * 8 + 10.9r * 8) = 0 10.9 + 2.8r + (-8 + 87.2r) = 0 Reorder the terms: 10.9 + -8 + 2.8r + 87.2r = 0 Combine like terms: 10.9 + -8 = 2.9 2.9 + 2.8r + 87.2r = 0 Combine like terms: 2.8r + 87.2r = 90r 2.9 + 90r = 0 Solving 2.9 + 90r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-2.9' to each side of the equation. 2.9 + -2.9 + 90r = 0 + -2.9 Combine like terms: 2.9 + -2.9 = 0.0 0.0 + 90r = 0 + -2.9 90r = 0 + -2.9 Combine like terms: 0 + -2.9 = -2.9 90r = -2.9 Divide each side by '90'. r = -0.03222222222 Simplifying r = -0.03222222222
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