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Simplifying -6 = -6(1 + -7r) -6 = (1 * -6 + -7r * -6) -6 = (-6 + 42r) Add '6' to each side of the equation. -6 + 6 = -6 + 6 + 42r Combine like terms: -6 + 6 = 0 0 = -6 + 6 + 42r Combine like terms: -6 + 6 = 0 0 = 0 + 42r 0 = 42r Solving 0 = 42r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-42r' to each side of the equation. 0 + -42r = 42r + -42r Remove the zero: -42r = 42r + -42r Combine like terms: 42r + -42r = 0 -42r = 0 Divide each side by '-42'. r = 0 Simplifying r = 0
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