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Simplifying -8r + -10 = -2(3r + 11) Reorder the terms: -10 + -8r = -2(3r + 11) Reorder the terms: -10 + -8r = -2(11 + 3r) -10 + -8r = (11 * -2 + 3r * -2) -10 + -8r = (-22 + -6r) Solving -10 + -8r = -22 + -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. -10 + -8r + 6r = -22 + -6r + 6r Combine like terms: -8r + 6r = -2r -10 + -2r = -22 + -6r + 6r Combine like terms: -6r + 6r = 0 -10 + -2r = -22 + 0 -10 + -2r = -22 Add '10' to each side of the equation. -10 + 10 + -2r = -22 + 10 Combine like terms: -10 + 10 = 0 0 + -2r = -22 + 10 -2r = -22 + 10 Combine like terms: -22 + 10 = -12 -2r = -12 Divide each side by '-2'. r = 6 Simplifying r = 6
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