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Simplifying -4(-15r + -11) = 4(13r + -4) + 2r Reorder the terms: -4(-11 + -15r) = 4(13r + -4) + 2r (-11 * -4 + -15r * -4) = 4(13r + -4) + 2r (44 + 60r) = 4(13r + -4) + 2r Reorder the terms: 44 + 60r = 4(-4 + 13r) + 2r 44 + 60r = (-4 * 4 + 13r * 4) + 2r 44 + 60r = (-16 + 52r) + 2r Combine like terms: 52r + 2r = 54r 44 + 60r = -16 + 54r Solving 44 + 60r = -16 + 54r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-54r' to each side of the equation. 44 + 60r + -54r = -16 + 54r + -54r Combine like terms: 60r + -54r = 6r 44 + 6r = -16 + 54r + -54r Combine like terms: 54r + -54r = 0 44 + 6r = -16 + 0 44 + 6r = -16 Add '-44' to each side of the equation. 44 + -44 + 6r = -16 + -44 Combine like terms: 44 + -44 = 0 0 + 6r = -16 + -44 6r = -16 + -44 Combine like terms: -16 + -44 = -60 6r = -60 Divide each side by '6'. r = -10 Simplifying r = -10
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