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Simplifying 4(r + -1) + 6 = 2r + 12 Reorder the terms: 4(-1 + r) + 6 = 2r + 12 (-1 * 4 + r * 4) + 6 = 2r + 12 (-4 + 4r) + 6 = 2r + 12 Reorder the terms: -4 + 6 + 4r = 2r + 12 Combine like terms: -4 + 6 = 2 2 + 4r = 2r + 12 Reorder the terms: 2 + 4r = 12 + 2r Solving 2 + 4r = 12 + 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. 2 + 4r + -2r = 12 + 2r + -2r Combine like terms: 4r + -2r = 2r 2 + 2r = 12 + 2r + -2r Combine like terms: 2r + -2r = 0 2 + 2r = 12 + 0 2 + 2r = 12 Add '-2' to each side of the equation. 2 + -2 + 2r = 12 + -2 Combine like terms: 2 + -2 = 0 0 + 2r = 12 + -2 2r = 12 + -2 Combine like terms: 12 + -2 = 10 2r = 10 Divide each side by '2'. r = 5 Simplifying r = 5
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