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Simplifying (12r + 8) + -1(2r + 12) = 0 Reorder the terms: (8 + 12r) + -1(2r + 12) = 0 Remove parenthesis around (8 + 12r) 8 + 12r + -1(2r + 12) = 0 Reorder the terms: 8 + 12r + -1(12 + 2r) = 0 8 + 12r + (12 * -1 + 2r * -1) = 0 8 + 12r + (-12 + -2r) = 0 Reorder the terms: 8 + -12 + 12r + -2r = 0 Combine like terms: 8 + -12 = -4 -4 + 12r + -2r = 0 Combine like terms: 12r + -2r = 10r -4 + 10r = 0 Solving -4 + 10r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 10r = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 10r = 0 + 4 10r = 0 + 4 Combine like terms: 0 + 4 = 4 10r = 4 Divide each side by '10'. r = 0.4 Simplifying r = 0.4
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