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Simplifying 6(7r + -2) + 8 = 416 Reorder the terms: 6(-2 + 7r) + 8 = 416 (-2 * 6 + 7r * 6) + 8 = 416 (-12 + 42r) + 8 = 416 Reorder the terms: -12 + 8 + 42r = 416 Combine like terms: -12 + 8 = -4 -4 + 42r = 416 Solving -4 + 42r = 416 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 42r = 416 + 4 Combine like terms: -4 + 4 = 0 0 + 42r = 416 + 4 42r = 416 + 4 Combine like terms: 416 + 4 = 420 42r = 420 Divide each side by '42'. r = 10 Simplifying r = 10
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