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Simplifying -2r + -9 = -3(r + 2) Reorder the terms: -9 + -2r = -3(r + 2) Reorder the terms: -9 + -2r = -3(2 + r) -9 + -2r = (2 * -3 + r * -3) -9 + -2r = (-6 + -3r) Solving -9 + -2r = -6 + -3r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '3r' to each side of the equation. -9 + -2r + 3r = -6 + -3r + 3r Combine like terms: -2r + 3r = 1r -9 + 1r = -6 + -3r + 3r Combine like terms: -3r + 3r = 0 -9 + 1r = -6 + 0 -9 + 1r = -6 Add '9' to each side of the equation. -9 + 9 + 1r = -6 + 9 Combine like terms: -9 + 9 = 0 0 + 1r = -6 + 9 1r = -6 + 9 Combine like terms: -6 + 9 = 3 1r = 3 Divide each side by '1'. r = 3 Simplifying r = 3
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