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Simplifying -7(1 + -7r) + 7(2r + 1) = 3r + -3r (1 * -7 + -7r * -7) + 7(2r + 1) = 3r + -3r (-7 + 49r) + 7(2r + 1) = 3r + -3r Reorder the terms: -7 + 49r + 7(1 + 2r) = 3r + -3r -7 + 49r + (1 * 7 + 2r * 7) = 3r + -3r -7 + 49r + (7 + 14r) = 3r + -3r Reorder the terms: -7 + 7 + 49r + 14r = 3r + -3r Combine like terms: -7 + 7 = 0 0 + 49r + 14r = 3r + -3r 49r + 14r = 3r + -3r Combine like terms: 49r + 14r = 63r 63r = 3r + -3r Combine like terms: 3r + -3r = 0 63r = 0 Solving 63r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Divide each side by '63'. r = 0 Simplifying r = 0
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