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Simplifying -2r + 5r + -12 = -0.33(36 + -9r) Reorder the terms: -12 + -2r + 5r = -0.33(36 + -9r) Combine like terms: -2r + 5r = 3r -12 + 3r = -0.33(36 + -9r) -12 + 3r = (36 * -0.33 + -9r * -0.33) -12 + 3r = (-11.88 + 2.97r) Solving -12 + 3r = -11.88 + 2.97r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-2.97r' to each side of the equation. -12 + 3r + -2.97r = -11.88 + 2.97r + -2.97r Combine like terms: 3r + -2.97r = 0.03r -12 + 0.03r = -11.88 + 2.97r + -2.97r Combine like terms: 2.97r + -2.97r = 0.00 -12 + 0.03r = -11.88 + 0.00 -12 + 0.03r = -11.88 Add '12' to each side of the equation. -12 + 12 + 0.03r = -11.88 + 12 Combine like terms: -12 + 12 = 0 0 + 0.03r = -11.88 + 12 0.03r = -11.88 + 12 Combine like terms: -11.88 + 12 = 0.12 0.03r = 0.12 Divide each side by '0.03'. r = 4 Simplifying r = 4
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