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Simplifying -4.2r + 3 = 2.5r + -6 Reorder the terms: 3 + -4.2r = 2.5r + -6 Reorder the terms: 3 + -4.2r = -6 + 2.5r Solving 3 + -4.2r = -6 + 2.5r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-2.5r' to each side of the equation. 3 + -4.2r + -2.5r = -6 + 2.5r + -2.5r Combine like terms: -4.2r + -2.5r = -6.7r 3 + -6.7r = -6 + 2.5r + -2.5r Combine like terms: 2.5r + -2.5r = 0.0 3 + -6.7r = -6 + 0.0 3 + -6.7r = -6 Add '-3' to each side of the equation. 3 + -3 + -6.7r = -6 + -3 Combine like terms: 3 + -3 = 0 0 + -6.7r = -6 + -3 -6.7r = -6 + -3 Combine like terms: -6 + -3 = -9 -6.7r = -9 Divide each side by '-6.7'. r = 1.343283582 Simplifying r = 1.343283582
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