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Simplifying -20 + -6r = -4(2r + 3) Reorder the terms: -20 + -6r = -4(3 + 2r) -20 + -6r = (3 * -4 + 2r * -4) -20 + -6r = (-12 + -8r) Solving -20 + -6r = -12 + -8r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '8r' to each side of the equation. -20 + -6r + 8r = -12 + -8r + 8r Combine like terms: -6r + 8r = 2r -20 + 2r = -12 + -8r + 8r Combine like terms: -8r + 8r = 0 -20 + 2r = -12 + 0 -20 + 2r = -12 Add '20' to each side of the equation. -20 + 20 + 2r = -12 + 20 Combine like terms: -20 + 20 = 0 0 + 2r = -12 + 20 2r = -12 + 20 Combine like terms: -12 + 20 = 8 2r = 8 Divide each side by '2'. r = 4 Simplifying r = 4
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