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Simplifying -7 + 7(6r + 7) = 4 + 4r Reorder the terms: -7 + 7(7 + 6r) = 4 + 4r -7 + (7 * 7 + 6r * 7) = 4 + 4r -7 + (49 + 42r) = 4 + 4r Combine like terms: -7 + 49 = 42 42 + 42r = 4 + 4r Solving 42 + 42r = 4 + 4r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-4r' to each side of the equation. 42 + 42r + -4r = 4 + 4r + -4r Combine like terms: 42r + -4r = 38r 42 + 38r = 4 + 4r + -4r Combine like terms: 4r + -4r = 0 42 + 38r = 4 + 0 42 + 38r = 4 Add '-42' to each side of the equation. 42 + -42 + 38r = 4 + -42 Combine like terms: 42 + -42 = 0 0 + 38r = 4 + -42 38r = 4 + -42 Combine like terms: 4 + -42 = -38 38r = -38 Divide each side by '38'. r = -1 Simplifying r = -1
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