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Simplifying 6r + 16 + -5r = 13(r + -2) + -18 Reorder the terms: 16 + 6r + -5r = 13(r + -2) + -18 Combine like terms: 6r + -5r = 1r 16 + 1r = 13(r + -2) + -18 Reorder the terms: 16 + 1r = 13(-2 + r) + -18 16 + 1r = (-2 * 13 + r * 13) + -18 16 + 1r = (-26 + 13r) + -18 Reorder the terms: 16 + 1r = -26 + -18 + 13r Combine like terms: -26 + -18 = -44 16 + 1r = -44 + 13r Solving 16 + 1r = -44 + 13r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-13r' to each side of the equation. 16 + 1r + -13r = -44 + 13r + -13r Combine like terms: 1r + -13r = -12r 16 + -12r = -44 + 13r + -13r Combine like terms: 13r + -13r = 0 16 + -12r = -44 + 0 16 + -12r = -44 Add '-16' to each side of the equation. 16 + -16 + -12r = -44 + -16 Combine like terms: 16 + -16 = 0 0 + -12r = -44 + -16 -12r = -44 + -16 Combine like terms: -44 + -16 = -60 -12r = -60 Divide each side by '-12'. r = 5 Simplifying r = 5
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