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Simplifying -4(r + -3) + 12r = -2(-3r + -5) Reorder the terms: -4(-3 + r) + 12r = -2(-3r + -5) (-3 * -4 + r * -4) + 12r = -2(-3r + -5) (12 + -4r) + 12r = -2(-3r + -5) Combine like terms: -4r + 12r = 8r 12 + 8r = -2(-3r + -5) Reorder the terms: 12 + 8r = -2(-5 + -3r) 12 + 8r = (-5 * -2 + -3r * -2) 12 + 8r = (10 + 6r) Solving 12 + 8r = 10 + 6r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-6r' to each side of the equation. 12 + 8r + -6r = 10 + 6r + -6r Combine like terms: 8r + -6r = 2r 12 + 2r = 10 + 6r + -6r Combine like terms: 6r + -6r = 0 12 + 2r = 10 + 0 12 + 2r = 10 Add '-12' to each side of the equation. 12 + -12 + 2r = 10 + -12 Combine like terms: 12 + -12 = 0 0 + 2r = 10 + -12 2r = 10 + -12 Combine like terms: 10 + -12 = -2 2r = -2 Divide each side by '2'. r = -1 Simplifying r = -1
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