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Simplifying 5r + -6r + 27 + 3 * 5 = r Multiply 3 * 5 5r + -6r + 27 + 15 = r Reorder the terms: 27 + 15 + 5r + -6r = r Combine like terms: 27 + 15 = 42 42 + 5r + -6r = r Combine like terms: 5r + -6r = -1r 42 + -1r = r Solving 42 + -1r = r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-1r' to each side of the equation. 42 + -1r + -1r = r + -1r Combine like terms: -1r + -1r = -2r 42 + -2r = r + -1r Combine like terms: r + -1r = 0 42 + -2r = 0 Add '-42' to each side of the equation. 42 + -42 + -2r = 0 + -42 Combine like terms: 42 + -42 = 0 0 + -2r = 0 + -42 -2r = 0 + -42 Combine like terms: 0 + -42 = -42 -2r = -42 Divide each side by '-2'. r = 21 Simplifying r = 21
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