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Simplifying 19(2r + 6) = 8(5r + -1) Reorder the terms: 19(6 + 2r) = 8(5r + -1) (6 * 19 + 2r * 19) = 8(5r + -1) (114 + 38r) = 8(5r + -1) Reorder the terms: 114 + 38r = 8(-1 + 5r) 114 + 38r = (-1 * 8 + 5r * 8) 114 + 38r = (-8 + 40r) Solving 114 + 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. 114 + 38r + -40r = -8 + 40r + -40r Combine like terms: 38r + -40r = -2r 114 + -2r = -8 + 40r + -40r Combine like terms: 40r + -40r = 0 114 + -2r = -8 + 0 114 + -2r = -8 Add '-114' to each side of the equation. 114 + -114 + -2r = -8 + -114 Combine like terms: 114 + -114 = 0 0 + -2r = -8 + -114 -2r = -8 + -114 Combine like terms: -8 + -114 = -122 -2r = -122 Divide each side by '-2'. r = 61 Simplifying r = 61
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