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Simplifying (-4) + -5(r + -7) = 27 + -6r -4 + -5(r + -7) = 27 + -6r Reorder the terms: -4 + -5(-7 + r) = 27 + -6r -4 + (-7 * -5 + r * -5) = 27 + -6r -4 + (35 + -5r) = 27 + -6r Combine like terms: -4 + 35 = 31 31 + -5r = 27 + -6r Solving 31 + -5r = 27 + -6r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '6r' to each side of the equation. 31 + -5r + 6r = 27 + -6r + 6r Combine like terms: -5r + 6r = 1r 31 + 1r = 27 + -6r + 6r Combine like terms: -6r + 6r = 0 31 + 1r = 27 + 0 31 + 1r = 27 Add '-31' to each side of the equation. 31 + -31 + 1r = 27 + -31 Combine like terms: 31 + -31 = 0 0 + 1r = 27 + -31 1r = 27 + -31 Combine like terms: 27 + -31 = -4 1r = -4 Divide each side by '1'. r = -4 Simplifying r = -4
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