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Simplifying 3(2r + -4) + 20 + -6r = 3r + -4 Reorder the terms: 3(-4 + 2r) + 20 + -6r = 3r + -4 (-4 * 3 + 2r * 3) + 20 + -6r = 3r + -4 (-12 + 6r) + 20 + -6r = 3r + -4 Reorder the terms: -12 + 20 + 6r + -6r = 3r + -4 Combine like terms: -12 + 20 = 8 8 + 6r + -6r = 3r + -4 Combine like terms: 6r + -6r = 0 8 + 0 = 3r + -4 8 = 3r + -4 Reorder the terms: 8 = -4 + 3r Solving 8 = -4 + 3r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-3r' to each side of the equation. 8 + -3r = -4 + 3r + -3r Combine like terms: 3r + -3r = 0 8 + -3r = -4 + 0 8 + -3r = -4 Add '-8' to each side of the equation. 8 + -8 + -3r = -4 + -8 Combine like terms: 8 + -8 = 0 0 + -3r = -4 + -8 -3r = -4 + -8 Combine like terms: -4 + -8 = -12 -3r = -12 Divide each side by '-3'. r = 4 Simplifying r = 4
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