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Simplifying -3(r + 7) = 2(4r + -5) Reorder the terms: -3(7 + r) = 2(4r + -5) (7 * -3 + r * -3) = 2(4r + -5) (-21 + -3r) = 2(4r + -5) Reorder the terms: -21 + -3r = 2(-5 + 4r) -21 + -3r = (-5 * 2 + 4r * 2) -21 + -3r = (-10 + 8r) Solving -21 + -3r = -10 + 8r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-8r' to each side of the equation. -21 + -3r + -8r = -10 + 8r + -8r Combine like terms: -3r + -8r = -11r -21 + -11r = -10 + 8r + -8r Combine like terms: 8r + -8r = 0 -21 + -11r = -10 + 0 -21 + -11r = -10 Add '21' to each side of the equation. -21 + 21 + -11r = -10 + 21 Combine like terms: -21 + 21 = 0 0 + -11r = -10 + 21 -11r = -10 + 21 Combine like terms: -10 + 21 = 11 -11r = 11 Divide each side by '-11'. r = -1 Simplifying r = -1
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