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Simplifying -1 + -5r = -8(r + 2) Reorder the terms: -1 + -5r = -8(2 + r) -1 + -5r = (2 * -8 + r * -8) -1 + -5r = (-16 + -8r) Solving -1 + -5r = -16 + -8r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '8r' to each side of the equation. -1 + -5r + 8r = -16 + -8r + 8r Combine like terms: -5r + 8r = 3r -1 + 3r = -16 + -8r + 8r Combine like terms: -8r + 8r = 0 -1 + 3r = -16 + 0 -1 + 3r = -16 Add '1' to each side of the equation. -1 + 1 + 3r = -16 + 1 Combine like terms: -1 + 1 = 0 0 + 3r = -16 + 1 3r = -16 + 1 Combine like terms: -16 + 1 = -15 3r = -15 Divide each side by '3'. r = -5 Simplifying r = -5
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