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Simplifying -7(7 + -5r) = 2(-8 + 12r) (7 * -7 + -5r * -7) = 2(-8 + 12r) (-49 + 35r) = 2(-8 + 12r) -49 + 35r = (-8 * 2 + 12r * 2) -49 + 35r = (-16 + 24r) Solving -49 + 35r = -16 + 24r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-24r' to each side of the equation. -49 + 35r + -24r = -16 + 24r + -24r Combine like terms: 35r + -24r = 11r -49 + 11r = -16 + 24r + -24r Combine like terms: 24r + -24r = 0 -49 + 11r = -16 + 0 -49 + 11r = -16 Add '49' to each side of the equation. -49 + 49 + 11r = -16 + 49 Combine like terms: -49 + 49 = 0 0 + 11r = -16 + 49 11r = -16 + 49 Combine like terms: -16 + 49 = 33 11r = 33 Divide each side by '11'. r = 3 Simplifying r = 3
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