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Simplifying -5(2r + 4) = 3(11 + -4R) + -58 Reorder the terms: -5(4 + 2r) = 3(11 + -4R) + -58 (4 * -5 + 2r * -5) = 3(11 + -4R) + -58 (-20 + -10r) = 3(11 + -4R) + -58 -20 + -10r = (11 * 3 + -4R * 3) + -58 -20 + -10r = (33 + -12R) + -58 Reorder the terms: -20 + -10r = 33 + -58 + -12R Combine like terms: 33 + -58 = -25 -20 + -10r = -25 + -12R Solving -20 + -10r = -25 + -12R Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + -10r = -25 + 20 + -12R Combine like terms: -20 + 20 = 0 0 + -10r = -25 + 20 + -12R -10r = -25 + 20 + -12R Combine like terms: -25 + 20 = -5 -10r = -5 + -12R Divide each side by '-10'. r = 0.5 + 1.2R Simplifying r = 0.5 + 1.2R
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