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Simplifying -1(r + 4) = -6(r + 4) Reorder the terms: -1(4 + r) = -6(r + 4) (4 * -1 + r * -1) = -6(r + 4) (-4 + -1r) = -6(r + 4) Reorder the terms: -4 + -1r = -6(4 + r) -4 + -1r = (4 * -6 + r * -6) -4 + -1r = (-24 + -6r) Solving -4 + -1r = -24 + -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. -4 + -1r + 6r = -24 + -6r + 6r Combine like terms: -1r + 6r = 5r -4 + 5r = -24 + -6r + 6r Combine like terms: -6r + 6r = 0 -4 + 5r = -24 + 0 -4 + 5r = -24 Add '4' to each side of the equation. -4 + 4 + 5r = -24 + 4 Combine like terms: -4 + 4 = 0 0 + 5r = -24 + 4 5r = -24 + 4 Combine like terms: -24 + 4 = -20 5r = -20 Divide each side by '5'. r = -4 Simplifying r = -4
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