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Simplifying -3(7 + 11r) = 5(-12r + 12) (7 * -3 + 11r * -3) = 5(-12r + 12) (-21 + -33r) = 5(-12r + 12) Reorder the terms: -21 + -33r = 5(12 + -12r) -21 + -33r = (12 * 5 + -12r * 5) -21 + -33r = (60 + -60r) Solving -21 + -33r = 60 + -60r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '60r' to each side of the equation. -21 + -33r + 60r = 60 + -60r + 60r Combine like terms: -33r + 60r = 27r -21 + 27r = 60 + -60r + 60r Combine like terms: -60r + 60r = 0 -21 + 27r = 60 + 0 -21 + 27r = 60 Add '21' to each side of the equation. -21 + 21 + 27r = 60 + 21 Combine like terms: -21 + 21 = 0 0 + 27r = 60 + 21 27r = 60 + 21 Combine like terms: 60 + 21 = 81 27r = 81 Divide each side by '27'. r = 3 Simplifying r = 3
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