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Simplifying 2r + -8r = -7(-6 + -6r) + 6(-13r + -7) Combine like terms: 2r + -8r = -6r -6r = -7(-6 + -6r) + 6(-13r + -7) -6r = (-6 * -7 + -6r * -7) + 6(-13r + -7) -6r = (42 + 42r) + 6(-13r + -7) Reorder the terms: -6r = 42 + 42r + 6(-7 + -13r) -6r = 42 + 42r + (-7 * 6 + -13r * 6) -6r = 42 + 42r + (-42 + -78r) Reorder the terms: -6r = 42 + -42 + 42r + -78r Combine like terms: 42 + -42 = 0 -6r = 0 + 42r + -78r -6r = 42r + -78r Combine like terms: 42r + -78r = -36r -6r = -36r Solving -6r = -36r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '36r' to each side of the equation. -6r + 36r = -36r + 36r Combine like terms: -6r + 36r = 30r 30r = -36r + 36r Combine like terms: -36r + 36r = 0 30r = 0 Divide each side by '30'. r = 0.0 Simplifying r = 0.0
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