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Simplifying 3r + -39 = -5(r + 2) + 3 Reorder the terms: -39 + 3r = -5(r + 2) + 3 Reorder the terms: -39 + 3r = -5(2 + r) + 3 -39 + 3r = (2 * -5 + r * -5) + 3 -39 + 3r = (-10 + -5r) + 3 Reorder the terms: -39 + 3r = -10 + 3 + -5r Combine like terms: -10 + 3 = -7 -39 + 3r = -7 + -5r Solving -39 + 3r = -7 + -5r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '5r' to each side of the equation. -39 + 3r + 5r = -7 + -5r + 5r Combine like terms: 3r + 5r = 8r -39 + 8r = -7 + -5r + 5r Combine like terms: -5r + 5r = 0 -39 + 8r = -7 + 0 -39 + 8r = -7 Add '39' to each side of the equation. -39 + 39 + 8r = -7 + 39 Combine like terms: -39 + 39 = 0 0 + 8r = -7 + 39 8r = -7 + 39 Combine like terms: -7 + 39 = 32 8r = 32 Divide each side by '8'. r = 4 Simplifying r = 4
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