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Simplifying -31 + -1r = -4 + -6(r + 2) Reorder the terms: -31 + -1r = -4 + -6(2 + r) -31 + -1r = -4 + (2 * -6 + r * -6) -31 + -1r = -4 + (-12 + -6r) Combine like terms: -4 + -12 = -16 -31 + -1r = -16 + -6r Solving -31 + -1r = -16 + -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 + -1r + 6r = -16 + -6r + 6r Combine like terms: -1r + 6r = 5r -31 + 5r = -16 + -6r + 6r Combine like terms: -6r + 6r = 0 -31 + 5r = -16 + 0 -31 + 5r = -16 Add '31' to each side of the equation. -31 + 31 + 5r = -16 + 31 Combine like terms: -31 + 31 = 0 0 + 5r = -16 + 31 5r = -16 + 31 Combine like terms: -16 + 31 = 15 5r = 15 Divide each side by '5'. r = 3 Simplifying r = 3
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