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Simplifying 3(r + -4) = 2(r + -2) + 2 + -1r Reorder the terms: 3(-4 + r) = 2(r + -2) + 2 + -1r (-4 * 3 + r * 3) = 2(r + -2) + 2 + -1r (-12 + 3r) = 2(r + -2) + 2 + -1r Reorder the terms: -12 + 3r = 2(-2 + r) + 2 + -1r -12 + 3r = (-2 * 2 + r * 2) + 2 + -1r -12 + 3r = (-4 + 2r) + 2 + -1r Reorder the terms: -12 + 3r = -4 + 2 + 2r + -1r Combine like terms: -4 + 2 = -2 -12 + 3r = -2 + 2r + -1r Combine like terms: 2r + -1r = 1r -12 + 3r = -2 + 1r Solving -12 + 3r = -2 + 1r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-1r' to each side of the equation. -12 + 3r + -1r = -2 + 1r + -1r Combine like terms: 3r + -1r = 2r -12 + 2r = -2 + 1r + -1r Combine like terms: 1r + -1r = 0 -12 + 2r = -2 + 0 -12 + 2r = -2 Add '12' to each side of the equation. -12 + 12 + 2r = -2 + 12 Combine like terms: -12 + 12 = 0 0 + 2r = -2 + 12 2r = -2 + 12 Combine like terms: -2 + 12 = 10 2r = 10 Divide each side by '2'. r = 5 Simplifying r = 5
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