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Simplifying -3(2r + 5) + -12r + (-12) = 0 Reorder the terms: -3(5 + 2r) + -12r + (-12) = 0 (5 * -3 + 2r * -3) + -12r + (-12) = 0 (-15 + -6r) + -12r + (-12) = 0 -15 + -6r + -12r + -12 = 0 Reorder the terms: -15 + -12 + -6r + -12r = 0 Combine like terms: -15 + -12 = -27 -27 + -6r + -12r = 0 Combine like terms: -6r + -12r = -18r -27 + -18r = 0 Solving -27 + -18r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '27' to each side of the equation. -27 + 27 + -18r = 0 + 27 Combine like terms: -27 + 27 = 0 0 + -18r = 0 + 27 -18r = 0 + 27 Combine like terms: 0 + 27 = 27 -18r = 27 Divide each side by '-18'. r = -1.5 Simplifying r = -1.5
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