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Simplifying 7(r + 4) = 3(r + -4) Reorder the terms: 7(4 + r) = 3(r + -4) (4 * 7 + r * 7) = 3(r + -4) (28 + 7r) = 3(r + -4) Reorder the terms: 28 + 7r = 3(-4 + r) 28 + 7r = (-4 * 3 + r * 3) 28 + 7r = (-12 + 3r) Solving 28 + 7r = -12 + 3r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-3r' to each side of the equation. 28 + 7r + -3r = -12 + 3r + -3r Combine like terms: 7r + -3r = 4r 28 + 4r = -12 + 3r + -3r Combine like terms: 3r + -3r = 0 28 + 4r = -12 + 0 28 + 4r = -12 Add '-28' to each side of the equation. 28 + -28 + 4r = -12 + -28 Combine like terms: 28 + -28 = 0 0 + 4r = -12 + -28 4r = -12 + -28 Combine like terms: -12 + -28 = -40 4r = -40 Divide each side by '4'. r = -10 Simplifying r = -10
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