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Simplifying 0.42 + -1.2 = 0.3r + 0.6 Combine like terms: 0.42 + -1.2 = -0.78 -0.78 = 0.3r + 0.6 Reorder the terms: -0.78 = 0.6 + 0.3r Solving -0.78 = 0.6 + 0.3r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-0.3r' to each side of the equation. -0.78 + -0.3r = 0.6 + 0.3r + -0.3r Combine like terms: 0.3r + -0.3r = 0.0 -0.78 + -0.3r = 0.6 + 0.0 -0.78 + -0.3r = 0.6 Add '0.78' to each side of the equation. -0.78 + 0.78 + -0.3r = 0.6 + 0.78 Combine like terms: -0.78 + 0.78 = 0.00 0.00 + -0.3r = 0.6 + 0.78 -0.3r = 0.6 + 0.78 Combine like terms: 0.6 + 0.78 = 1.38 -0.3r = 1.38 Divide each side by '-0.3'. r = -4.6 Simplifying r = -4.6
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