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Simplifying -3r + 54 = 5(2r + 3) Reorder the terms: 54 + -3r = 5(2r + 3) Reorder the terms: 54 + -3r = 5(3 + 2r) 54 + -3r = (3 * 5 + 2r * 5) 54 + -3r = (15 + 10r) Solving 54 + -3r = 15 + 10r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-10r' to each side of the equation. 54 + -3r + -10r = 15 + 10r + -10r Combine like terms: -3r + -10r = -13r 54 + -13r = 15 + 10r + -10r Combine like terms: 10r + -10r = 0 54 + -13r = 15 + 0 54 + -13r = 15 Add '-54' to each side of the equation. 54 + -54 + -13r = 15 + -54 Combine like terms: 54 + -54 = 0 0 + -13r = 15 + -54 -13r = 15 + -54 Combine like terms: 15 + -54 = -39 -13r = -39 Divide each side by '-13'. r = 3 Simplifying r = 3
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