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Simplifying 4(r + -3) = 2(r + 8) Reorder the terms: 4(-3 + r) = 2(r + 8) (-3 * 4 + r * 4) = 2(r + 8) (-12 + 4r) = 2(r + 8) Reorder the terms: -12 + 4r = 2(8 + r) -12 + 4r = (8 * 2 + r * 2) -12 + 4r = (16 + 2r) Solving -12 + 4r = 16 + 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. -12 + 4r + -2r = 16 + 2r + -2r Combine like terms: 4r + -2r = 2r -12 + 2r = 16 + 2r + -2r Combine like terms: 2r + -2r = 0 -12 + 2r = 16 + 0 -12 + 2r = 16 Add '12' to each side of the equation. -12 + 12 + 2r = 16 + 12 Combine like terms: -12 + 12 = 0 0 + 2r = 16 + 12 2r = 16 + 12 Combine like terms: 16 + 12 = 28 2r = 28 Divide each side by '2'. r = 14 Simplifying r = 14
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