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Simplifying 7r + -8.4 = 2(5r + 9) Reorder the terms: -8.4 + 7r = 2(5r + 9) Reorder the terms: -8.4 + 7r = 2(9 + 5r) -8.4 + 7r = (9 * 2 + 5r * 2) -8.4 + 7r = (18 + 10r) Solving -8.4 + 7r = 18 + 10r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-10r' to each side of the equation. -8.4 + 7r + -10r = 18 + 10r + -10r Combine like terms: 7r + -10r = -3r -8.4 + -3r = 18 + 10r + -10r Combine like terms: 10r + -10r = 0 -8.4 + -3r = 18 + 0 -8.4 + -3r = 18 Add '8.4' to each side of the equation. -8.4 + 8.4 + -3r = 18 + 8.4 Combine like terms: -8.4 + 8.4 = 0.0 0.0 + -3r = 18 + 8.4 -3r = 18 + 8.4 Combine like terms: 18 + 8.4 = 26.4 -3r = 26.4 Divide each side by '-3'. r = -8.8 Simplifying r = -8.8
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