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Simplifying 38 + 8r = 6(r + 5) Reorder the terms: 38 + 8r = 6(5 + r) 38 + 8r = (5 * 6 + r * 6) 38 + 8r = (30 + 6r) Solving 38 + 8r = 30 + 6r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-6r' to each side of the equation. 38 + 8r + -6r = 30 + 6r + -6r Combine like terms: 8r + -6r = 2r 38 + 2r = 30 + 6r + -6r Combine like terms: 6r + -6r = 0 38 + 2r = 30 + 0 38 + 2r = 30 Add '-38' to each side of the equation. 38 + -38 + 2r = 30 + -38 Combine like terms: 38 + -38 = 0 0 + 2r = 30 + -38 2r = 30 + -38 Combine like terms: 30 + -38 = -8 2r = -8 Divide each side by '2'. r = -4 Simplifying r = -4
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