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Simplifying 7(2r + -3) + -1(8r + -9) = -12 Reorder the terms: 7(-3 + 2r) + -1(8r + -9) = -12 (-3 * 7 + 2r * 7) + -1(8r + -9) = -12 (-21 + 14r) + -1(8r + -9) = -12 Reorder the terms: -21 + 14r + -1(-9 + 8r) = -12 -21 + 14r + (-9 * -1 + 8r * -1) = -12 -21 + 14r + (9 + -8r) = -12 Reorder the terms: -21 + 9 + 14r + -8r = -12 Combine like terms: -21 + 9 = -12 -12 + 14r + -8r = -12 Combine like terms: 14r + -8r = 6r -12 + 6r = -12 Add '12' to each side of the equation. -12 + 12 + 6r = -12 + 12 Combine like terms: -12 + 12 = 0 0 + 6r = -12 + 12 6r = -12 + 12 Combine like terms: -12 + 12 = 0 6r = 0 Solving 6r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Divide each side by '6'. r = 0 Simplifying r = 0
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