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Simplifying 12 + r + -2(r + 1) = 3 Reorder the terms: 12 + r + -2(1 + r) = 3 12 + r + (1 * -2 + r * -2) = 3 12 + r + (-2 + -2r) = 3 Reorder the terms: 12 + -2 + r + -2r = 3 Combine like terms: 12 + -2 = 10 10 + r + -2r = 3 Combine like terms: r + -2r = -1r 10 + -1r = 3 Solving 10 + -1r = 3 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -1r = 3 + -10 Combine like terms: 10 + -10 = 0 0 + -1r = 3 + -10 -1r = 3 + -10 Combine like terms: 3 + -10 = -7 -1r = -7 Divide each side by '-1'. r = 7 Simplifying r = 7
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