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Simplifying 5r + 37 = 7(r + 3) Reorder the terms: 37 + 5r = 7(r + 3) Reorder the terms: 37 + 5r = 7(3 + r) 37 + 5r = (3 * 7 + r * 7) 37 + 5r = (21 + 7r) Solving 37 + 5r = 21 + 7r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-7r' to each side of the equation. 37 + 5r + -7r = 21 + 7r + -7r Combine like terms: 5r + -7r = -2r 37 + -2r = 21 + 7r + -7r Combine like terms: 7r + -7r = 0 37 + -2r = 21 + 0 37 + -2r = 21 Add '-37' to each side of the equation. 37 + -37 + -2r = 21 + -37 Combine like terms: 37 + -37 = 0 0 + -2r = 21 + -37 -2r = 21 + -37 Combine like terms: 21 + -37 = -16 -2r = -16 Divide each side by '-2'. r = 8 Simplifying r = 8
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