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Simplifying -3(8 + -7r) + -8 = 2r + -13 (8 * -3 + -7r * -3) + -8 = 2r + -13 (-24 + 21r) + -8 = 2r + -13 Reorder the terms: -24 + -8 + 21r = 2r + -13 Combine like terms: -24 + -8 = -32 -32 + 21r = 2r + -13 Reorder the terms: -32 + 21r = -13 + 2r Solving -32 + 21r = -13 + 2r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-2r' to each side of the equation. -32 + 21r + -2r = -13 + 2r + -2r Combine like terms: 21r + -2r = 19r -32 + 19r = -13 + 2r + -2r Combine like terms: 2r + -2r = 0 -32 + 19r = -13 + 0 -32 + 19r = -13 Add '32' to each side of the equation. -32 + 32 + 19r = -13 + 32 Combine like terms: -32 + 32 = 0 0 + 19r = -13 + 32 19r = -13 + 32 Combine like terms: -13 + 32 = 19 19r = 19 Divide each side by '19'. r = 1 Simplifying r = 1
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