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Simplifying -0.7r + 2 = -4.2r + -1.5 Reorder the terms: 2 + -0.7r = -4.2r + -1.5 Reorder the terms: 2 + -0.7r = -1.5 + -4.2r Solving 2 + -0.7r = -1.5 + -4.2r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '4.2r' to each side of the equation. 2 + -0.7r + 4.2r = -1.5 + -4.2r + 4.2r Combine like terms: -0.7r + 4.2r = 3.5r 2 + 3.5r = -1.5 + -4.2r + 4.2r Combine like terms: -4.2r + 4.2r = 0.0 2 + 3.5r = -1.5 + 0.0 2 + 3.5r = -1.5 Add '-2' to each side of the equation. 2 + -2 + 3.5r = -1.5 + -2 Combine like terms: 2 + -2 = 0 0 + 3.5r = -1.5 + -2 3.5r = -1.5 + -2 Combine like terms: -1.5 + -2 = -3.5 3.5r = -3.5 Divide each side by '3.5'. r = -1 Simplifying r = -1
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