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Simplifying -1 + 2(-5r + -6) = -83 Reorder the terms: -1 + 2(-6 + -5r) = -83 -1 + (-6 * 2 + -5r * 2) = -83 -1 + (-12 + -10r) = -83 Combine like terms: -1 + -12 = -13 -13 + -10r = -83 Solving -13 + -10r = -83 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + -10r = -83 + 13 Combine like terms: -13 + 13 = 0 0 + -10r = -83 + 13 -10r = -83 + 13 Combine like terms: -83 + 13 = -70 -10r = -70 Divide each side by '-10'. r = 7 Simplifying r = 7
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