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Simplifying -248 = 6(8r + 7) + -2 Reorder the terms: -248 = 6(7 + 8r) + -2 -248 = (7 * 6 + 8r * 6) + -2 -248 = (42 + 48r) + -2 Reorder the terms: -248 = 42 + -2 + 48r Combine like terms: 42 + -2 = 40 -248 = 40 + 48r Solving -248 = 40 + 48r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-48r' to each side of the equation. -248 + -48r = 40 + 48r + -48r Combine like terms: 48r + -48r = 0 -248 + -48r = 40 + 0 -248 + -48r = 40 Add '248' to each side of the equation. -248 + 248 + -48r = 40 + 248 Combine like terms: -248 + 248 = 0 0 + -48r = 40 + 248 -48r = 40 + 248 Combine like terms: 40 + 248 = 288 -48r = 288 Divide each side by '-48'. r = -6 Simplifying r = -6
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