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Simplifying -204 = 6r + -6(8r + -2) Reorder the terms: -204 = 6r + -6(-2 + 8r) -204 = 6r + (-2 * -6 + 8r * -6) -204 = 6r + (12 + -48r) Reorder the terms: -204 = 12 + 6r + -48r Combine like terms: 6r + -48r = -42r -204 = 12 + -42r Solving -204 = 12 + -42r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '42r' to each side of the equation. -204 + 42r = 12 + -42r + 42r Combine like terms: -42r + 42r = 0 -204 + 42r = 12 + 0 -204 + 42r = 12 Add '204' to each side of the equation. -204 + 204 + 42r = 12 + 204 Combine like terms: -204 + 204 = 0 0 + 42r = 12 + 204 42r = 12 + 204 Combine like terms: 12 + 204 = 216 42r = 216 Divide each side by '42'. r = 5.142857143 Simplifying r = 5.142857143
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