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Simplifying 2r + 18 = 5(1 + 3r) Reorder the terms: 18 + 2r = 5(1 + 3r) 18 + 2r = (1 * 5 + 3r * 5) 18 + 2r = (5 + 15r) Solving 18 + 2r = 5 + 15r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-15r' to each side of the equation. 18 + 2r + -15r = 5 + 15r + -15r Combine like terms: 2r + -15r = -13r 18 + -13r = 5 + 15r + -15r Combine like terms: 15r + -15r = 0 18 + -13r = 5 + 0 18 + -13r = 5 Add '-18' to each side of the equation. 18 + -18 + -13r = 5 + -18 Combine like terms: 18 + -18 = 0 0 + -13r = 5 + -18 -13r = 5 + -18 Combine like terms: 5 + -18 = -13 -13r = -13 Divide each side by '-13'. r = 1 Simplifying r = 1
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