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Simplifying 42 = 2r + 6r + -10 + 6 Reorder the terms: 42 = -10 + 6 + 2r + 6r Combine like terms: -10 + 6 = -4 42 = -4 + 2r + 6r Combine like terms: 2r + 6r = 8r 42 = -4 + 8r Solving 42 = -4 + 8r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-8r' to each side of the equation. 42 + -8r = -4 + 8r + -8r Combine like terms: 8r + -8r = 0 42 + -8r = -4 + 0 42 + -8r = -4 Add '-42' to each side of the equation. 42 + -42 + -8r = -4 + -42 Combine like terms: 42 + -42 = 0 0 + -8r = -4 + -42 -8r = -4 + -42 Combine like terms: -4 + -42 = -46 -8r = -46 Divide each side by '-8'. r = 5.75 Simplifying r = 5.75
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