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Simplifying 4(r + 3) + 2 = 2(r + -3) Reorder the terms: 4(3 + r) + 2 = 2(r + -3) (3 * 4 + r * 4) + 2 = 2(r + -3) (12 + 4r) + 2 = 2(r + -3) Reorder the terms: 12 + 2 + 4r = 2(r + -3) Combine like terms: 12 + 2 = 14 14 + 4r = 2(r + -3) Reorder the terms: 14 + 4r = 2(-3 + r) 14 + 4r = (-3 * 2 + r * 2) 14 + 4r = (-6 + 2r) Solving 14 + 4r = -6 + 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. 14 + 4r + -2r = -6 + 2r + -2r Combine like terms: 4r + -2r = 2r 14 + 2r = -6 + 2r + -2r Combine like terms: 2r + -2r = 0 14 + 2r = -6 + 0 14 + 2r = -6 Add '-14' to each side of the equation. 14 + -14 + 2r = -6 + -14 Combine like terms: 14 + -14 = 0 0 + 2r = -6 + -14 2r = -6 + -14 Combine like terms: -6 + -14 = -20 2r = -20 Divide each side by '2'. r = -10 Simplifying r = -10
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