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Simplifying -6(2r + 5) = 54 Reorder the terms: -6(5 + 2r) = 54 (5 * -6 + 2r * -6) = 54 (-30 + -12r) = 54 Solving -30 + -12r = 54 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + -12r = 54 + 30 Combine like terms: -30 + 30 = 0 0 + -12r = 54 + 30 -12r = 54 + 30 Combine like terms: 54 + 30 = 84 -12r = 84 Divide each side by '-12'. r = -7 Simplifying r = -7
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