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Simplifying -1 + -1r = -7(1 + 7r) + 6 -1 + -1r = (1 * -7 + 7r * -7) + 6 -1 + -1r = (-7 + -49r) + 6 Reorder the terms: -1 + -1r = -7 + 6 + -49r Combine like terms: -7 + 6 = -1 -1 + -1r = -1 + -49r Add '1' to each side of the equation. -1 + 1 + -1r = -1 + 1 + -49r Combine like terms: -1 + 1 = 0 0 + -1r = -1 + 1 + -49r -1r = -1 + 1 + -49r Combine like terms: -1 + 1 = 0 -1r = 0 + -49r -1r = -49r Solving -1r = -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. -1r + 49r = -49r + 49r Combine like terms: -1r + 49r = 48r 48r = -49r + 49r Combine like terms: -49r + 49r = 0 48r = 0 Divide each side by '48'. r = 0 Simplifying r = 0
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