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Simplifying 8(3r + -6) + 6r = 162 Reorder the terms: 8(-6 + 3r) + 6r = 162 (-6 * 8 + 3r * 8) + 6r = 162 (-48 + 24r) + 6r = 162 Combine like terms: 24r + 6r = 30r -48 + 30r = 162 Solving -48 + 30r = 162 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '48' to each side of the equation. -48 + 48 + 30r = 162 + 48 Combine like terms: -48 + 48 = 0 0 + 30r = 162 + 48 30r = 162 + 48 Combine like terms: 162 + 48 = 210 30r = 210 Divide each side by '30'. r = 7 Simplifying r = 7
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