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Simplifying -3(r + 8) + -2(r + 8) = 0 Reorder the terms: -3(8 + r) + -2(r + 8) = 0 (8 * -3 + r * -3) + -2(r + 8) = 0 (-24 + -3r) + -2(r + 8) = 0 Reorder the terms: -24 + -3r + -2(8 + r) = 0 -24 + -3r + (8 * -2 + r * -2) = 0 -24 + -3r + (-16 + -2r) = 0 Reorder the terms: -24 + -16 + -3r + -2r = 0 Combine like terms: -24 + -16 = -40 -40 + -3r + -2r = 0 Combine like terms: -3r + -2r = -5r -40 + -5r = 0 Solving -40 + -5r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '40' to each side of the equation. -40 + 40 + -5r = 0 + 40 Combine like terms: -40 + 40 = 0 0 + -5r = 0 + 40 -5r = 0 + 40 Combine like terms: 0 + 40 = 40 -5r = 40 Divide each side by '-5'. r = -8 Simplifying r = -8
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