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Simplifying -2(r + -6) + 3r = 10 + -2(r + 2) Reorder the terms: -2(-6 + r) + 3r = 10 + -2(r + 2) (-6 * -2 + r * -2) + 3r = 10 + -2(r + 2) (12 + -2r) + 3r = 10 + -2(r + 2) Combine like terms: -2r + 3r = 1r 12 + 1r = 10 + -2(r + 2) Reorder the terms: 12 + 1r = 10 + -2(2 + r) 12 + 1r = 10 + (2 * -2 + r * -2) 12 + 1r = 10 + (-4 + -2r) Combine like terms: 10 + -4 = 6 12 + 1r = 6 + -2r Solving 12 + 1r = 6 + -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 + 1r + 2r = 6 + -2r + 2r Combine like terms: 1r + 2r = 3r 12 + 3r = 6 + -2r + 2r Combine like terms: -2r + 2r = 0 12 + 3r = 6 + 0 12 + 3r = 6 Add '-12' to each side of the equation. 12 + -12 + 3r = 6 + -12 Combine like terms: 12 + -12 = 0 0 + 3r = 6 + -12 3r = 6 + -12 Combine like terms: 6 + -12 = -6 3r = -6 Divide each side by '3'. r = -2 Simplifying r = -2
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