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Simplifying 18.4 = -18r + -1(6r + -3.4) Reorder the terms: 18.4 = -18r + -1(-3.4 + 6r) 18.4 = -18r + (-3.4 * -1 + 6r * -1) 18.4 = -18r + (3.4 + -6r) Reorder the terms: 18.4 = 3.4 + -18r + -6r Combine like terms: -18r + -6r = -24r 18.4 = 3.4 + -24r Solving 18.4 = 3.4 + -24r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '24r' to each side of the equation. 18.4 + 24r = 3.4 + -24r + 24r Combine like terms: -24r + 24r = 0 18.4 + 24r = 3.4 + 0 18.4 + 24r = 3.4 Add '-18.4' to each side of the equation. 18.4 + -18.4 + 24r = 3.4 + -18.4 Combine like terms: 18.4 + -18.4 = 0.0 0.0 + 24r = 3.4 + -18.4 24r = 3.4 + -18.4 Combine like terms: 3.4 + -18.4 = -15 24r = -15 Divide each side by '24'. r = -0.625 Simplifying r = -0.625
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