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Simplifying 40 + -3r = -3(8 + 8r) + 5r 40 + -3r = (8 * -3 + 8r * -3) + 5r 40 + -3r = (-24 + -24r) + 5r Combine like terms: -24r + 5r = -19r 40 + -3r = -24 + -19r Solving 40 + -3r = -24 + -19r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '19r' to each side of the equation. 40 + -3r + 19r = -24 + -19r + 19r Combine like terms: -3r + 19r = 16r 40 + 16r = -24 + -19r + 19r Combine like terms: -19r + 19r = 0 40 + 16r = -24 + 0 40 + 16r = -24 Add '-40' to each side of the equation. 40 + -40 + 16r = -24 + -40 Combine like terms: 40 + -40 = 0 0 + 16r = -24 + -40 16r = -24 + -40 Combine like terms: -24 + -40 = -64 16r = -64 Divide each side by '16'. r = -4 Simplifying r = -4
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