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Simplifying 7(r + 8) + -4 = -4(-7 + -1r) Reorder the terms: 7(8 + r) + -4 = -4(-7 + -1r) (8 * 7 + r * 7) + -4 = -4(-7 + -1r) (56 + 7r) + -4 = -4(-7 + -1r) Reorder the terms: 56 + -4 + 7r = -4(-7 + -1r) Combine like terms: 56 + -4 = 52 52 + 7r = -4(-7 + -1r) 52 + 7r = (-7 * -4 + -1r * -4) 52 + 7r = (28 + 4r) Solving 52 + 7r = 28 + 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. 52 + 7r + -4r = 28 + 4r + -4r Combine like terms: 7r + -4r = 3r 52 + 3r = 28 + 4r + -4r Combine like terms: 4r + -4r = 0 52 + 3r = 28 + 0 52 + 3r = 28 Add '-52' to each side of the equation. 52 + -52 + 3r = 28 + -52 Combine like terms: 52 + -52 = 0 0 + 3r = 28 + -52 3r = 28 + -52 Combine like terms: 28 + -52 = -24 3r = -24 Divide each side by '3'. r = -8 Simplifying r = -8
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