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Simplifying 13 + 2r = -6 + -7(r + 5) Reorder the terms: 13 + 2r = -6 + -7(5 + r) 13 + 2r = -6 + (5 * -7 + r * -7) 13 + 2r = -6 + (-35 + -7r) Combine like terms: -6 + -35 = -41 13 + 2r = -41 + -7r Solving 13 + 2r = -41 + -7r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '7r' to each side of the equation. 13 + 2r + 7r = -41 + -7r + 7r Combine like terms: 2r + 7r = 9r 13 + 9r = -41 + -7r + 7r Combine like terms: -7r + 7r = 0 13 + 9r = -41 + 0 13 + 9r = -41 Add '-13' to each side of the equation. 13 + -13 + 9r = -41 + -13 Combine like terms: 13 + -13 = 0 0 + 9r = -41 + -13 9r = -41 + -13 Combine like terms: -41 + -13 = -54 9r = -54 Divide each side by '9'. r = -6 Simplifying r = -6
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