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Simplifying 5r + 27 = -6(2 + -3r) Reorder the terms: 27 + 5r = -6(2 + -3r) 27 + 5r = (2 * -6 + -3r * -6) 27 + 5r = (-12 + 18r) Solving 27 + 5r = -12 + 18r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-18r' to each side of the equation. 27 + 5r + -18r = -12 + 18r + -18r Combine like terms: 5r + -18r = -13r 27 + -13r = -12 + 18r + -18r Combine like terms: 18r + -18r = 0 27 + -13r = -12 + 0 27 + -13r = -12 Add '-27' to each side of the equation. 27 + -27 + -13r = -12 + -27 Combine like terms: 27 + -27 = 0 0 + -13r = -12 + -27 -13r = -12 + -27 Combine like terms: -12 + -27 = -39 -13r = -39 Divide each side by '-13'. r = 3 Simplifying r = 3
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