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Simplifying -105 = -7(1 + 7r) -105 = (1 * -7 + 7r * -7) -105 = (-7 + -49r) Solving -105 = -7 + -49r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '49r' to each side of the equation. -105 + 49r = -7 + -49r + 49r Combine like terms: -49r + 49r = 0 -105 + 49r = -7 + 0 -105 + 49r = -7 Add '105' to each side of the equation. -105 + 105 + 49r = -7 + 105 Combine like terms: -105 + 105 = 0 0 + 49r = -7 + 105 49r = -7 + 105 Combine like terms: -7 + 105 = 98 49r = 98 Divide each side by '49'. r = 2 Simplifying r = 2
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