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Simplifying -2(r + 6) + 3 = -11r + 4(r + 4) Reorder the terms: -2(6 + r) + 3 = -11r + 4(r + 4) (6 * -2 + r * -2) + 3 = -11r + 4(r + 4) (-12 + -2r) + 3 = -11r + 4(r + 4) Reorder the terms: -12 + 3 + -2r = -11r + 4(r + 4) Combine like terms: -12 + 3 = -9 -9 + -2r = -11r + 4(r + 4) Reorder the terms: -9 + -2r = -11r + 4(4 + r) -9 + -2r = -11r + (4 * 4 + r * 4) -9 + -2r = -11r + (16 + 4r) Reorder the terms: -9 + -2r = 16 + -11r + 4r Combine like terms: -11r + 4r = -7r -9 + -2r = 16 + -7r Solving -9 + -2r = 16 + -7r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '7r' to each side of the equation. -9 + -2r + 7r = 16 + -7r + 7r Combine like terms: -2r + 7r = 5r -9 + 5r = 16 + -7r + 7r Combine like terms: -7r + 7r = 0 -9 + 5r = 16 + 0 -9 + 5r = 16 Add '9' to each side of the equation. -9 + 9 + 5r = 16 + 9 Combine like terms: -9 + 9 = 0 0 + 5r = 16 + 9 5r = 16 + 9 Combine like terms: 16 + 9 = 25 5r = 25 Divide each side by '5'. r = 5 Simplifying r = 5
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