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Simplifying -5(11 + -3r) = 6r + -4 (11 * -5 + -3r * -5) = 6r + -4 (-55 + 15r) = 6r + -4 Reorder the terms: -55 + 15r = -4 + 6r Solving -55 + 15r = -4 + 6r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-6r' to each side of the equation. -55 + 15r + -6r = -4 + 6r + -6r Combine like terms: 15r + -6r = 9r -55 + 9r = -4 + 6r + -6r Combine like terms: 6r + -6r = 0 -55 + 9r = -4 + 0 -55 + 9r = -4 Add '55' to each side of the equation. -55 + 55 + 9r = -4 + 55 Combine like terms: -55 + 55 = 0 0 + 9r = -4 + 55 9r = -4 + 55 Combine like terms: -4 + 55 = 51 9r = 51 Divide each side by '9'. r = 5.666666667 Simplifying r = 5.666666667
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