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Simplifying -5 + -2(r + 5) = 1 + 6r Reorder the terms: -5 + -2(5 + r) = 1 + 6r -5 + (5 * -2 + r * -2) = 1 + 6r -5 + (-10 + -2r) = 1 + 6r Combine like terms: -5 + -10 = -15 -15 + -2r = 1 + 6r Solving -15 + -2r = 1 + 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. -15 + -2r + -6r = 1 + 6r + -6r Combine like terms: -2r + -6r = -8r -15 + -8r = 1 + 6r + -6r Combine like terms: 6r + -6r = 0 -15 + -8r = 1 + 0 -15 + -8r = 1 Add '15' to each side of the equation. -15 + 15 + -8r = 1 + 15 Combine like terms: -15 + 15 = 0 0 + -8r = 1 + 15 -8r = 1 + 15 Combine like terms: 1 + 15 = 16 -8r = 16 Divide each side by '-8'. r = -2 Simplifying r = -2
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