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Simplifying 40 = 16 + -4(9 + -3r) 40 = 16 + (9 * -4 + -3r * -4) 40 = 16 + (-36 + 12r) Combine like terms: 16 + -36 = -20 40 = -20 + 12r Solving 40 = -20 + 12r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-12r' to each side of the equation. 40 + -12r = -20 + 12r + -12r Combine like terms: 12r + -12r = 0 40 + -12r = -20 + 0 40 + -12r = -20 Add '-40' to each side of the equation. 40 + -40 + -12r = -20 + -40 Combine like terms: 40 + -40 = 0 0 + -12r = -20 + -40 -12r = -20 + -40 Combine like terms: -20 + -40 = -60 -12r = -60 Divide each side by '-12'. r = 5 Simplifying r = 5
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