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Simplifying -13r + -7(19 + -4r) = 54 + -2r -13r + (19 * -7 + -4r * -7) = 54 + -2r -13r + (-133 + 28r) = 54 + -2r Reorder the terms: -133 + -13r + 28r = 54 + -2r Combine like terms: -13r + 28r = 15r -133 + 15r = 54 + -2r Solving -133 + 15r = 54 + -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. -133 + 15r + 2r = 54 + -2r + 2r Combine like terms: 15r + 2r = 17r -133 + 17r = 54 + -2r + 2r Combine like terms: -2r + 2r = 0 -133 + 17r = 54 + 0 -133 + 17r = 54 Add '133' to each side of the equation. -133 + 133 + 17r = 54 + 133 Combine like terms: -133 + 133 = 0 0 + 17r = 54 + 133 17r = 54 + 133 Combine like terms: 54 + 133 = 187 17r = 187 Divide each side by '17'. r = 11 Simplifying r = 11
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