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Simplifying -5(2r + 3) = 33 + -12r + -58 Reorder the terms: -5(3 + 2r) = 33 + -12r + -58 (3 * -5 + 2r * -5) = 33 + -12r + -58 (-15 + -10r) = 33 + -12r + -58 Reorder the terms: -15 + -10r = 33 + -58 + -12r Combine like terms: 33 + -58 = -25 -15 + -10r = -25 + -12r Solving -15 + -10r = -25 + -12r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '12r' to each side of the equation. -15 + -10r + 12r = -25 + -12r + 12r Combine like terms: -10r + 12r = 2r -15 + 2r = -25 + -12r + 12r Combine like terms: -12r + 12r = 0 -15 + 2r = -25 + 0 -15 + 2r = -25 Add '15' to each side of the equation. -15 + 15 + 2r = -25 + 15 Combine like terms: -15 + 15 = 0 0 + 2r = -25 + 15 2r = -25 + 15 Combine like terms: -25 + 15 = -10 2r = -10 Divide each side by '2'. r = -5 Simplifying r = -5
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