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Simplifying -100 = 5(3r + -5) Reorder the terms: -100 = 5(-5 + 3r) -100 = (-5 * 5 + 3r * 5) -100 = (-25 + 15r) Solving -100 = -25 + 15r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-15r' to each side of the equation. -100 + -15r = -25 + 15r + -15r Combine like terms: 15r + -15r = 0 -100 + -15r = -25 + 0 -100 + -15r = -25 Add '100' to each side of the equation. -100 + 100 + -15r = -25 + 100 Combine like terms: -100 + 100 = 0 0 + -15r = -25 + 100 -15r = -25 + 100 Combine like terms: -25 + 100 = 75 -15r = 75 Divide each side by '-15'. r = -5 Simplifying r = -5
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