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Simplifying -5(2r + 3) = 3(11 + -4r) Reorder the terms: -5(3 + 2r) = 3(11 + -4r) (3 * -5 + 2r * -5) = 3(11 + -4r) (-15 + -10r) = 3(11 + -4r) -15 + -10r = (11 * 3 + -4r * 3) -15 + -10r = (33 + -12r) Solving -15 + -10r = 33 + -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 = 33 + -12r + 12r Combine like terms: -10r + 12r = 2r -15 + 2r = 33 + -12r + 12r Combine like terms: -12r + 12r = 0 -15 + 2r = 33 + 0 -15 + 2r = 33 Add '15' to each side of the equation. -15 + 15 + 2r = 33 + 15 Combine like terms: -15 + 15 = 0 0 + 2r = 33 + 15 2r = 33 + 15 Combine like terms: 33 + 15 = 48 2r = 48 Divide each side by '2'. r = 24 Simplifying r = 24
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