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Simplifying -5 + -5(6r + 7) = -10 Reorder the terms: -5 + -5(7 + 6r) = -10 -5 + (7 * -5 + 6r * -5) = -10 -5 + (-35 + -30r) = -10 Combine like terms: -5 + -35 = -40 -40 + -30r = -10 Solving -40 + -30r = -10 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '40' to each side of the equation. -40 + 40 + -30r = -10 + 40 Combine like terms: -40 + 40 = 0 0 + -30r = -10 + 40 -30r = -10 + 40 Combine like terms: -10 + 40 = 30 -30r = 30 Divide each side by '-30'. r = -1 Simplifying r = -1
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