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Simplifying -3(8 + -1r) + 8(r + -7) = -69 (8 * -3 + -1r * -3) + 8(r + -7) = -69 (-24 + 3r) + 8(r + -7) = -69 Reorder the terms: -24 + 3r + 8(-7 + r) = -69 -24 + 3r + (-7 * 8 + r * 8) = -69 -24 + 3r + (-56 + 8r) = -69 Reorder the terms: -24 + -56 + 3r + 8r = -69 Combine like terms: -24 + -56 = -80 -80 + 3r + 8r = -69 Combine like terms: 3r + 8r = 11r -80 + 11r = -69 Solving -80 + 11r = -69 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '80' to each side of the equation. -80 + 80 + 11r = -69 + 80 Combine like terms: -80 + 80 = 0 0 + 11r = -69 + 80 11r = -69 + 80 Combine like terms: -69 + 80 = 11 11r = 11 Divide each side by '11'. r = 1 Simplifying r = 1
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