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Simplifying 8 = 4.2r + -7 + 1.8r Reorder the terms: 8 = -7 + 4.2r + 1.8r Combine like terms: 4.2r + 1.8r = 6r 8 = -7 + 6r Solving 8 = -7 + 6r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-6r' to each side of the equation. 8 + -6r = -7 + 6r + -6r Combine like terms: 6r + -6r = 0 8 + -6r = -7 + 0 8 + -6r = -7 Add '-8' to each side of the equation. 8 + -8 + -6r = -7 + -8 Combine like terms: 8 + -8 = 0 0 + -6r = -7 + -8 -6r = -7 + -8 Combine like terms: -7 + -8 = -15 -6r = -15 Divide each side by '-6'. r = 2.5 Simplifying r = 2.5
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