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Simplifying 4(4r + 1) = -2r + 40 Reorder the terms: 4(1 + 4r) = -2r + 40 (1 * 4 + 4r * 4) = -2r + 40 (4 + 16r) = -2r + 40 Reorder the terms: 4 + 16r = 40 + -2r Solving 4 + 16r = 40 + -2r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '2r' to each side of the equation. 4 + 16r + 2r = 40 + -2r + 2r Combine like terms: 16r + 2r = 18r 4 + 18r = 40 + -2r + 2r Combine like terms: -2r + 2r = 0 4 + 18r = 40 + 0 4 + 18r = 40 Add '-4' to each side of the equation. 4 + -4 + 18r = 40 + -4 Combine like terms: 4 + -4 = 0 0 + 18r = 40 + -4 18r = 40 + -4 Combine like terms: 40 + -4 = 36 18r = 36 Divide each side by '18'. r = 2 Simplifying r = 2
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