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Simplifying r + -23 = -6(r + -2) Reorder the terms: -23 + r = -6(r + -2) Reorder the terms: -23 + r = -6(-2 + r) -23 + r = (-2 * -6 + r * -6) -23 + r = (12 + -6r) Solving -23 + r = 12 + -6r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '6r' to each side of the equation. -23 + r + 6r = 12 + -6r + 6r Combine like terms: r + 6r = 7r -23 + 7r = 12 + -6r + 6r Combine like terms: -6r + 6r = 0 -23 + 7r = 12 + 0 -23 + 7r = 12 Add '23' to each side of the equation. -23 + 23 + 7r = 12 + 23 Combine like terms: -23 + 23 = 0 0 + 7r = 12 + 23 7r = 12 + 23 Combine like terms: 12 + 23 = 35 7r = 35 Divide each side by '7'. r = 5 Simplifying r = 5
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