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Simplifying 8(2r + 1) = 4(7t + 7) Reorder the terms: 8(1 + 2r) = 4(7t + 7) (1 * 8 + 2r * 8) = 4(7t + 7) (8 + 16r) = 4(7t + 7) Reorder the terms: 8 + 16r = 4(7 + 7t) 8 + 16r = (7 * 4 + 7t * 4) 8 + 16r = (28 + 28t) Solving 8 + 16r = 28 + 28t Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 16r = 28 + -8 + 28t Combine like terms: 8 + -8 = 0 0 + 16r = 28 + -8 + 28t 16r = 28 + -8 + 28t Combine like terms: 28 + -8 = 20 16r = 20 + 28t Divide each side by '16'. r = 1.25 + 1.75t Simplifying r = 1.25 + 1.75t
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