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Simplifying 4 + -3r + 1 + -8r = 2(6r + -5) + 3(r + 5) Reorder the terms: 4 + 1 + -3r + -8r = 2(6r + -5) + 3(r + 5) Combine like terms: 4 + 1 = 5 5 + -3r + -8r = 2(6r + -5) + 3(r + 5) Combine like terms: -3r + -8r = -11r 5 + -11r = 2(6r + -5) + 3(r + 5) Reorder the terms: 5 + -11r = 2(-5 + 6r) + 3(r + 5) 5 + -11r = (-5 * 2 + 6r * 2) + 3(r + 5) 5 + -11r = (-10 + 12r) + 3(r + 5) Reorder the terms: 5 + -11r = -10 + 12r + 3(5 + r) 5 + -11r = -10 + 12r + (5 * 3 + r * 3) 5 + -11r = -10 + 12r + (15 + 3r) Reorder the terms: 5 + -11r = -10 + 15 + 12r + 3r Combine like terms: -10 + 15 = 5 5 + -11r = 5 + 12r + 3r Combine like terms: 12r + 3r = 15r 5 + -11r = 5 + 15r Add '-5' to each side of the equation. 5 + -5 + -11r = 5 + -5 + 15r Combine like terms: 5 + -5 = 0 0 + -11r = 5 + -5 + 15r -11r = 5 + -5 + 15r Combine like terms: 5 + -5 = 0 -11r = 0 + 15r -11r = 15r Solving -11r = 15r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-15r' to each side of the equation. -11r + -15r = 15r + -15r Combine like terms: -11r + -15r = -26r -26r = 15r + -15r Combine like terms: 15r + -15r = 0 -26r = 0 Divide each side by '-26'. r = 0 Simplifying r = 0
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