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Simplifying -2(5r + 9) + 2(r + -3) = 0 Reorder the terms: -2(9 + 5r) + 2(r + -3) = 0 (9 * -2 + 5r * -2) + 2(r + -3) = 0 (-18 + -10r) + 2(r + -3) = 0 Reorder the terms: -18 + -10r + 2(-3 + r) = 0 -18 + -10r + (-3 * 2 + r * 2) = 0 -18 + -10r + (-6 + 2r) = 0 Reorder the terms: -18 + -6 + -10r + 2r = 0 Combine like terms: -18 + -6 = -24 -24 + -10r + 2r = 0 Combine like terms: -10r + 2r = -8r -24 + -8r = 0 Solving -24 + -8r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + -8r = 0 + 24 Combine like terms: -24 + 24 = 0 0 + -8r = 0 + 24 -8r = 0 + 24 Combine like terms: 0 + 24 = 24 -8r = 24 Divide each side by '-8'. r = -3 Simplifying r = -3
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