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Simplifying 8.4(3.1r + -2.35) = -3.402 + 2.7r Reorder the terms: 8.4(-2.35 + 3.1r) = -3.402 + 2.7r (-2.35 * 8.4 + 3.1r * 8.4) = -3.402 + 2.7r (-19.74 + 26.04r) = -3.402 + 2.7r Solving -19.74 + 26.04r = -3.402 + 2.7r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-2.7r' to each side of the equation. -19.74 + 26.04r + -2.7r = -3.402 + 2.7r + -2.7r Combine like terms: 26.04r + -2.7r = 23.34r -19.74 + 23.34r = -3.402 + 2.7r + -2.7r Combine like terms: 2.7r + -2.7r = 0.0 -19.74 + 23.34r = -3.402 + 0.0 -19.74 + 23.34r = -3.402 Add '19.74' to each side of the equation. -19.74 + 19.74 + 23.34r = -3.402 + 19.74 Combine like terms: -19.74 + 19.74 = 0.00 0.00 + 23.34r = -3.402 + 19.74 23.34r = -3.402 + 19.74 Combine like terms: -3.402 + 19.74 = 16.338 23.34r = 16.338 Divide each side by '23.34'. r = 0.7 Simplifying r = 0.7
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