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Simplifying -5r + -1 = 8r + -6(-6r + -8) Reorder the terms: -1 + -5r = 8r + -6(-6r + -8) Reorder the terms: -1 + -5r = 8r + -6(-8 + -6r) -1 + -5r = 8r + (-8 * -6 + -6r * -6) -1 + -5r = 8r + (48 + 36r) Reorder the terms: -1 + -5r = 48 + 8r + 36r Combine like terms: 8r + 36r = 44r -1 + -5r = 48 + 44r Solving -1 + -5r = 48 + 44r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-44r' to each side of the equation. -1 + -5r + -44r = 48 + 44r + -44r Combine like terms: -5r + -44r = -49r -1 + -49r = 48 + 44r + -44r Combine like terms: 44r + -44r = 0 -1 + -49r = 48 + 0 -1 + -49r = 48 Add '1' to each side of the equation. -1 + 1 + -49r = 48 + 1 Combine like terms: -1 + 1 = 0 0 + -49r = 48 + 1 -49r = 48 + 1 Combine like terms: 48 + 1 = 49 -49r = 49 Divide each side by '-49'. r = -1 Simplifying r = -1
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