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Simplifying 4(r + -8) + 2(r + 3) = -8 Reorder the terms: 4(-8 + r) + 2(r + 3) = -8 (-8 * 4 + r * 4) + 2(r + 3) = -8 (-32 + 4r) + 2(r + 3) = -8 Reorder the terms: -32 + 4r + 2(3 + r) = -8 -32 + 4r + (3 * 2 + r * 2) = -8 -32 + 4r + (6 + 2r) = -8 Reorder the terms: -32 + 6 + 4r + 2r = -8 Combine like terms: -32 + 6 = -26 -26 + 4r + 2r = -8 Combine like terms: 4r + 2r = 6r -26 + 6r = -8 Solving -26 + 6r = -8 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '26' to each side of the equation. -26 + 26 + 6r = -8 + 26 Combine like terms: -26 + 26 = 0 0 + 6r = -8 + 26 6r = -8 + 26 Combine like terms: -8 + 26 = 18 6r = 18 Divide each side by '6'. r = 3 Simplifying r = 3
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