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Simplifying 4(r + 4) = 7(2r + 4) Reorder the terms: 4(4 + r) = 7(2r + 4) (4 * 4 + r * 4) = 7(2r + 4) (16 + 4r) = 7(2r + 4) Reorder the terms: 16 + 4r = 7(4 + 2r) 16 + 4r = (4 * 7 + 2r * 7) 16 + 4r = (28 + 14r) Solving 16 + 4r = 28 + 14r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-14r' to each side of the equation. 16 + 4r + -14r = 28 + 14r + -14r Combine like terms: 4r + -14r = -10r 16 + -10r = 28 + 14r + -14r Combine like terms: 14r + -14r = 0 16 + -10r = 28 + 0 16 + -10r = 28 Add '-16' to each side of the equation. 16 + -16 + -10r = 28 + -16 Combine like terms: 16 + -16 = 0 0 + -10r = 28 + -16 -10r = 28 + -16 Combine like terms: 28 + -16 = 12 -10r = 12 Divide each side by '-10'. r = -1.2 Simplifying r = -1.2
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