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Simplifying 5 + -3(4r + -5) = 32 + -6r Reorder the terms: 5 + -3(-5 + 4r) = 32 + -6r 5 + (-5 * -3 + 4r * -3) = 32 + -6r 5 + (15 + -12r) = 32 + -6r Combine like terms: 5 + 15 = 20 20 + -12r = 32 + -6r Solving 20 + -12r = 32 + -6r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '6r' to each side of the equation. 20 + -12r + 6r = 32 + -6r + 6r Combine like terms: -12r + 6r = -6r 20 + -6r = 32 + -6r + 6r Combine like terms: -6r + 6r = 0 20 + -6r = 32 + 0 20 + -6r = 32 Add '-20' to each side of the equation. 20 + -20 + -6r = 32 + -20 Combine like terms: 20 + -20 = 0 0 + -6r = 32 + -20 -6r = 32 + -20 Combine like terms: 32 + -20 = 12 -6r = 12 Divide each side by '-6'. r = -2 Simplifying r = -2
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