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Simplifying -100 = -6r + -7(r + 5) Reorder the terms: -100 = -6r + -7(5 + r) -100 = -6r + (5 * -7 + r * -7) -100 = -6r + (-35 + -7r) Reorder the terms: -100 = -35 + -6r + -7r Combine like terms: -6r + -7r = -13r -100 = -35 + -13r Solving -100 = -35 + -13r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '13r' to each side of the equation. -100 + 13r = -35 + -13r + 13r Combine like terms: -13r + 13r = 0 -100 + 13r = -35 + 0 -100 + 13r = -35 Add '100' to each side of the equation. -100 + 100 + 13r = -35 + 100 Combine like terms: -100 + 100 = 0 0 + 13r = -35 + 100 13r = -35 + 100 Combine like terms: -35 + 100 = 65 13r = 65 Divide each side by '13'. r = 5 Simplifying r = 5
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