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Simplifying 8r + -28 = -42 + 6r Reorder the terms: -28 + 8r = -42 + 6r Solving -28 + 8r = -42 + 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. -28 + 8r + -6r = -42 + 6r + -6r Combine like terms: 8r + -6r = 2r -28 + 2r = -42 + 6r + -6r Combine like terms: 6r + -6r = 0 -28 + 2r = -42 + 0 -28 + 2r = -42 Add '28' to each side of the equation. -28 + 28 + 2r = -42 + 28 Combine like terms: -28 + 28 = 0 0 + 2r = -42 + 28 2r = -42 + 28 Combine like terms: -42 + 28 = -14 2r = -14 Divide each side by '2'. r = -7 Simplifying r = -7
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