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Simplifying 30 + -1r = 2(6 + r) 30 + -1r = (6 * 2 + r * 2) 30 + -1r = (12 + 2r) Solving 30 + -1r = 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. 30 + -1r + -2r = 12 + 2r + -2r Combine like terms: -1r + -2r = -3r 30 + -3r = 12 + 2r + -2r Combine like terms: 2r + -2r = 0 30 + -3r = 12 + 0 30 + -3r = 12 Add '-30' to each side of the equation. 30 + -30 + -3r = 12 + -30 Combine like terms: 30 + -30 = 0 0 + -3r = 12 + -30 -3r = 12 + -30 Combine like terms: 12 + -30 = -18 -3r = -18 Divide each side by '-3'. r = 6 Simplifying r = 6
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