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Simplifying -2(5r + -7) + -2(4 + -8r) = 54 Reorder the terms: -2(-7 + 5r) + -2(4 + -8r) = 54 (-7 * -2 + 5r * -2) + -2(4 + -8r) = 54 (14 + -10r) + -2(4 + -8r) = 54 14 + -10r + (4 * -2 + -8r * -2) = 54 14 + -10r + (-8 + 16r) = 54 Reorder the terms: 14 + -8 + -10r + 16r = 54 Combine like terms: 14 + -8 = 6 6 + -10r + 16r = 54 Combine like terms: -10r + 16r = 6r 6 + 6r = 54 Solving 6 + 6r = 54 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 6r = 54 + -6 Combine like terms: 6 + -6 = 0 0 + 6r = 54 + -6 6r = 54 + -6 Combine like terms: 54 + -6 = 48 6r = 48 Divide each side by '6'. r = 8 Simplifying r = 8
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