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Simplifying -8r + -22 = -5(3r + -11) Reorder the terms: -22 + -8r = -5(3r + -11) Reorder the terms: -22 + -8r = -5(-11 + 3r) -22 + -8r = (-11 * -5 + 3r * -5) -22 + -8r = (55 + -15r) Solving -22 + -8r = 55 + -15r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '15r' to each side of the equation. -22 + -8r + 15r = 55 + -15r + 15r Combine like terms: -8r + 15r = 7r -22 + 7r = 55 + -15r + 15r Combine like terms: -15r + 15r = 0 -22 + 7r = 55 + 0 -22 + 7r = 55 Add '22' to each side of the equation. -22 + 22 + 7r = 55 + 22 Combine like terms: -22 + 22 = 0 0 + 7r = 55 + 22 7r = 55 + 22 Combine like terms: 55 + 22 = 77 7r = 77 Divide each side by '7'. r = 11 Simplifying r = 11
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