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Simplifying -6(1 + 2r) + -3(r + -1) = 12 (1 * -6 + 2r * -6) + -3(r + -1) = 12 (-6 + -12r) + -3(r + -1) = 12 Reorder the terms: -6 + -12r + -3(-1 + r) = 12 -6 + -12r + (-1 * -3 + r * -3) = 12 -6 + -12r + (3 + -3r) = 12 Reorder the terms: -6 + 3 + -12r + -3r = 12 Combine like terms: -6 + 3 = -3 -3 + -12r + -3r = 12 Combine like terms: -12r + -3r = -15r -3 + -15r = 12 Solving -3 + -15r = 12 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -15r = 12 + 3 Combine like terms: -3 + 3 = 0 0 + -15r = 12 + 3 -15r = 12 + 3 Combine like terms: 12 + 3 = 15 -15r = 15 Divide each side by '-15'. r = -1 Simplifying r = -1
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