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Simplifying 3 + -1(r + 10) = 2(r + 1) Reorder the terms: 3 + -1(10 + r) = 2(r + 1) 3 + (10 * -1 + r * -1) = 2(r + 1) 3 + (-10 + -1r) = 2(r + 1) Combine like terms: 3 + -10 = -7 -7 + -1r = 2(r + 1) Reorder the terms: -7 + -1r = 2(1 + r) -7 + -1r = (1 * 2 + r * 2) -7 + -1r = (2 + 2r) Solving -7 + -1r = 2 + 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. -7 + -1r + -2r = 2 + 2r + -2r Combine like terms: -1r + -2r = -3r -7 + -3r = 2 + 2r + -2r Combine like terms: 2r + -2r = 0 -7 + -3r = 2 + 0 -7 + -3r = 2 Add '7' to each side of the equation. -7 + 7 + -3r = 2 + 7 Combine like terms: -7 + 7 = 0 0 + -3r = 2 + 7 -3r = 2 + 7 Combine like terms: 2 + 7 = 9 -3r = 9 Divide each side by '-3'. r = -3 Simplifying r = -3
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