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Simplifying 19(2r + 12) = 8(5r + -1) Reorder the terms: 19(12 + 2r) = 8(5r + -1) (12 * 19 + 2r * 19) = 8(5r + -1) (228 + 38r) = 8(5r + -1) Reorder the terms: 228 + 38r = 8(-1 + 5r) 228 + 38r = (-1 * 8 + 5r * 8) 228 + 38r = (-8 + 40r) Solving 228 + 38r = -8 + 40r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-40r' to each side of the equation. 228 + 38r + -40r = -8 + 40r + -40r Combine like terms: 38r + -40r = -2r 228 + -2r = -8 + 40r + -40r Combine like terms: 40r + -40r = 0 228 + -2r = -8 + 0 228 + -2r = -8 Add '-228' to each side of the equation. 228 + -228 + -2r = -8 + -228 Combine like terms: 228 + -228 = 0 0 + -2r = -8 + -228 -2r = -8 + -228 Combine like terms: -8 + -228 = -236 -2r = -236 Divide each side by '-2'. r = 118 Simplifying r = 118
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