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Simplifying 13 + -7r = -8r + -5(3r + 7) Reorder the terms: 13 + -7r = -8r + -5(7 + 3r) 13 + -7r = -8r + (7 * -5 + 3r * -5) 13 + -7r = -8r + (-35 + -15r) Reorder the terms: 13 + -7r = -35 + -8r + -15r Combine like terms: -8r + -15r = -23r 13 + -7r = -35 + -23r Solving 13 + -7r = -35 + -23r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '23r' to each side of the equation. 13 + -7r + 23r = -35 + -23r + 23r Combine like terms: -7r + 23r = 16r 13 + 16r = -35 + -23r + 23r Combine like terms: -23r + 23r = 0 13 + 16r = -35 + 0 13 + 16r = -35 Add '-13' to each side of the equation. 13 + -13 + 16r = -35 + -13 Combine like terms: 13 + -13 = 0 0 + 16r = -35 + -13 16r = -35 + -13 Combine like terms: -35 + -13 = -48 16r = -48 Divide each side by '16'. r = -3 Simplifying r = -3
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