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Simplifying 8(2r + 1) = 4(7r + 7) Reorder the terms: 8(1 + 2r) = 4(7r + 7) (1 * 8 + 2r * 8) = 4(7r + 7) (8 + 16r) = 4(7r + 7) Reorder the terms: 8 + 16r = 4(7 + 7r) 8 + 16r = (7 * 4 + 7r * 4) 8 + 16r = (28 + 28r) Solving 8 + 16r = 28 + 28r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-28r' to each side of the equation. 8 + 16r + -28r = 28 + 28r + -28r Combine like terms: 16r + -28r = -12r 8 + -12r = 28 + 28r + -28r Combine like terms: 28r + -28r = 0 8 + -12r = 28 + 0 8 + -12r = 28 Add '-8' to each side of the equation. 8 + -8 + -12r = 28 + -8 Combine like terms: 8 + -8 = 0 0 + -12r = 28 + -8 -12r = 28 + -8 Combine like terms: 28 + -8 = 20 -12r = 20 Divide each side by '-12'. r = -1.666666667 Simplifying r = -1.666666667
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