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Simplifying 5 + 4(r + -2) = 2(r + 7) + 1 Reorder the terms: 5 + 4(-2 + r) = 2(r + 7) + 1 5 + (-2 * 4 + r * 4) = 2(r + 7) + 1 5 + (-8 + 4r) = 2(r + 7) + 1 Combine like terms: 5 + -8 = -3 -3 + 4r = 2(r + 7) + 1 Reorder the terms: -3 + 4r = 2(7 + r) + 1 -3 + 4r = (7 * 2 + r * 2) + 1 -3 + 4r = (14 + 2r) + 1 Reorder the terms: -3 + 4r = 14 + 1 + 2r Combine like terms: 14 + 1 = 15 -3 + 4r = 15 + 2r Solving -3 + 4r = 15 + 2r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-2r' to each side of the equation. -3 + 4r + -2r = 15 + 2r + -2r Combine like terms: 4r + -2r = 2r -3 + 2r = 15 + 2r + -2r Combine like terms: 2r + -2r = 0 -3 + 2r = 15 + 0 -3 + 2r = 15 Add '3' to each side of the equation. -3 + 3 + 2r = 15 + 3 Combine like terms: -3 + 3 = 0 0 + 2r = 15 + 3 2r = 15 + 3 Combine like terms: 15 + 3 = 18 2r = 18 Divide each side by '2'. r = 9 Simplifying r = 9
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