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Simplifying -5(2r + 3) = 3(-11 + -4r) + -58 Reorder the terms: -5(3 + 2r) = 3(-11 + -4r) + -58 (3 * -5 + 2r * -5) = 3(-11 + -4r) + -58 (-15 + -10r) = 3(-11 + -4r) + -58 -15 + -10r = (-11 * 3 + -4r * 3) + -58 -15 + -10r = (-33 + -12r) + -58 Reorder the terms: -15 + -10r = -33 + -58 + -12r Combine like terms: -33 + -58 = -91 -15 + -10r = -91 + -12r Solving -15 + -10r = -91 + -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 = -91 + -12r + 12r Combine like terms: -10r + 12r = 2r -15 + 2r = -91 + -12r + 12r Combine like terms: -12r + 12r = 0 -15 + 2r = -91 + 0 -15 + 2r = -91 Add '15' to each side of the equation. -15 + 15 + 2r = -91 + 15 Combine like terms: -15 + 15 = 0 0 + 2r = -91 + 15 2r = -91 + 15 Combine like terms: -91 + 15 = -76 2r = -76 Divide each side by '2'. r = -38 Simplifying r = -38
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