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Simplifying 2r + -8r = -7(-6 + -6r) + 6(-3r + -7) Combine like terms: 2r + -8r = -6r -6r = -7(-6 + -6r) + 6(-3r + -7) -6r = (-6 * -7 + -6r * -7) + 6(-3r + -7) -6r = (42 + 42r) + 6(-3r + -7) Reorder the terms: -6r = 42 + 42r + 6(-7 + -3r) -6r = 42 + 42r + (-7 * 6 + -3r * 6) -6r = 42 + 42r + (-42 + -18r) Reorder the terms: -6r = 42 + -42 + 42r + -18r Combine like terms: 42 + -42 = 0 -6r = 0 + 42r + -18r -6r = 42r + -18r Combine like terms: 42r + -18r = 24r -6r = 24r Solving -6r = 24r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-24r' to each side of the equation. -6r + -24r = 24r + -24r Combine like terms: -6r + -24r = -30r -30r = 24r + -24r Combine like terms: 24r + -24r = 0 -30r = 0 Divide each side by '-30'. r = 0.0 Simplifying r = 0.0
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