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Simplifying 5(4r + 1) + -10r = 4(2r + -3) + 15 Reorder the terms: 5(1 + 4r) + -10r = 4(2r + -3) + 15 (1 * 5 + 4r * 5) + -10r = 4(2r + -3) + 15 (5 + 20r) + -10r = 4(2r + -3) + 15 Combine like terms: 20r + -10r = 10r 5 + 10r = 4(2r + -3) + 15 Reorder the terms: 5 + 10r = 4(-3 + 2r) + 15 5 + 10r = (-3 * 4 + 2r * 4) + 15 5 + 10r = (-12 + 8r) + 15 Reorder the terms: 5 + 10r = -12 + 15 + 8r Combine like terms: -12 + 15 = 3 5 + 10r = 3 + 8r Solving 5 + 10r = 3 + 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. 5 + 10r + -8r = 3 + 8r + -8r Combine like terms: 10r + -8r = 2r 5 + 2r = 3 + 8r + -8r Combine like terms: 8r + -8r = 0 5 + 2r = 3 + 0 5 + 2r = 3 Add '-5' to each side of the equation. 5 + -5 + 2r = 3 + -5 Combine like terms: 5 + -5 = 0 0 + 2r = 3 + -5 2r = 3 + -5 Combine like terms: 3 + -5 = -2 2r = -2 Divide each side by '2'. r = -1 Simplifying r = -1
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