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Simplifying -51 = -2(4r + 4) + -3 Reorder the terms: -51 = -2(4 + 4r) + -3 -51 = (4 * -2 + 4r * -2) + -3 -51 = (-8 + -8r) + -3 Reorder the terms: -51 = -8 + -3 + -8r Combine like terms: -8 + -3 = -11 -51 = -11 + -8r Solving -51 = -11 + -8r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '8r' to each side of the equation. -51 + 8r = -11 + -8r + 8r Combine like terms: -8r + 8r = 0 -51 + 8r = -11 + 0 -51 + 8r = -11 Add '51' to each side of the equation. -51 + 51 + 8r = -11 + 51 Combine like terms: -51 + 51 = 0 0 + 8r = -11 + 51 8r = -11 + 51 Combine like terms: -11 + 51 = 40 8r = 40 Divide each side by '8'. r = 5 Simplifying r = 5
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