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Simplifying 7(r + -8) + -6(3r + 1) = 0 Reorder the terms: 7(-8 + r) + -6(3r + 1) = 0 (-8 * 7 + r * 7) + -6(3r + 1) = 0 (-56 + 7r) + -6(3r + 1) = 0 Reorder the terms: -56 + 7r + -6(1 + 3r) = 0 -56 + 7r + (1 * -6 + 3r * -6) = 0 -56 + 7r + (-6 + -18r) = 0 Reorder the terms: -56 + -6 + 7r + -18r = 0 Combine like terms: -56 + -6 = -62 -62 + 7r + -18r = 0 Combine like terms: 7r + -18r = -11r -62 + -11r = 0 Solving -62 + -11r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '62' to each side of the equation. -62 + 62 + -11r = 0 + 62 Combine like terms: -62 + 62 = 0 0 + -11r = 0 + 62 -11r = 0 + 62 Combine like terms: 0 + 62 = 62 -11r = 62 Divide each side by '-11'. r = -5.636363636 Simplifying r = -5.636363636
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