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Simplifying -7 + -6r = -7(1 + 6r) + -7r -7 + -6r = (1 * -7 + 6r * -7) + -7r -7 + -6r = (-7 + -42r) + -7r Combine like terms: -42r + -7r = -49r -7 + -6r = -7 + -49r Add '7' to each side of the equation. -7 + 7 + -6r = -7 + 7 + -49r Combine like terms: -7 + 7 = 0 0 + -6r = -7 + 7 + -49r -6r = -7 + 7 + -49r Combine like terms: -7 + 7 = 0 -6r = 0 + -49r -6r = -49r Solving -6r = -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. -6r + 49r = -49r + 49r Combine like terms: -6r + 49r = 43r 43r = -49r + 49r Combine like terms: -49r + 49r = 0 43r = 0 Divide each side by '43'. r = 0 Simplifying r = 0
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