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Simplifying 9(4 + 1) + -18 = 2r + 12 Combine like terms: 4 + 1 = 5 9(5) + -18 = 2r + 12 Multiply 9 * 5 45 + -18 = 2r + 12 Combine like terms: 45 + -18 = 27 27 = 2r + 12 Reorder the terms: 27 = 12 + 2r Solving 27 = 12 + 2r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-2r' to each side of the equation. 27 + -2r = 12 + 2r + -2r Combine like terms: 2r + -2r = 0 27 + -2r = 12 + 0 27 + -2r = 12 Add '-27' to each side of the equation. 27 + -27 + -2r = 12 + -27 Combine like terms: 27 + -27 = 0 0 + -2r = 12 + -27 -2r = 12 + -27 Combine like terms: 12 + -27 = -15 -2r = -15 Divide each side by '-2'. r = 7.5 Simplifying r = 7.5
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