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Simplifying 7r + -5(3r + -7) = 51 Reorder the terms: 7r + -5(-7 + 3r) = 51 7r + (-7 * -5 + 3r * -5) = 51 7r + (35 + -15r) = 51 Reorder the terms: 35 + 7r + -15r = 51 Combine like terms: 7r + -15r = -8r 35 + -8r = 51 Solving 35 + -8r = 51 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-35' to each side of the equation. 35 + -35 + -8r = 51 + -35 Combine like terms: 35 + -35 = 0 0 + -8r = 51 + -35 -8r = 51 + -35 Combine like terms: 51 + -35 = 16 -8r = 16 Divide each side by '-8'. r = -2 Simplifying r = -2
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