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Simplifying -5(2r + 3) = (11 + -4r) + -58 Reorder the terms: -5(3 + 2r) = (11 + -4r) + -58 (3 * -5 + 2r * -5) = (11 + -4r) + -58 (-15 + -10r) = (11 + -4r) + -58 Remove parenthesis around (11 + -4r) -15 + -10r = 11 + -4r + -58 Reorder the terms: -15 + -10r = 11 + -58 + -4r Combine like terms: 11 + -58 = -47 -15 + -10r = -47 + -4r Solving -15 + -10r = -47 + -4r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '4r' to each side of the equation. -15 + -10r + 4r = -47 + -4r + 4r Combine like terms: -10r + 4r = -6r -15 + -6r = -47 + -4r + 4r Combine like terms: -4r + 4r = 0 -15 + -6r = -47 + 0 -15 + -6r = -47 Add '15' to each side of the equation. -15 + 15 + -6r = -47 + 15 Combine like terms: -15 + 15 = 0 0 + -6r = -47 + 15 -6r = -47 + 15 Combine like terms: -47 + 15 = -32 -6r = -32 Divide each side by '-6'. r = 5.333333333 Simplifying r = 5.333333333
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