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Simplifying 4(3r + -2) = -20 + 10r Reorder the terms: 4(-2 + 3r) = -20 + 10r (-2 * 4 + 3r * 4) = -20 + 10r (-8 + 12r) = -20 + 10r Solving -8 + 12r = -20 + 10r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-10r' to each side of the equation. -8 + 12r + -10r = -20 + 10r + -10r Combine like terms: 12r + -10r = 2r -8 + 2r = -20 + 10r + -10r Combine like terms: 10r + -10r = 0 -8 + 2r = -20 + 0 -8 + 2r = -20 Add '8' to each side of the equation. -8 + 8 + 2r = -20 + 8 Combine like terms: -8 + 8 = 0 0 + 2r = -20 + 8 2r = -20 + 8 Combine like terms: -20 + 8 = -12 2r = -12 Divide each side by '2'. r = -6 Simplifying r = -6
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