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Simplifying 4(2r + 5) = 6(r + -2) Reorder the terms: 4(5 + 2r) = 6(r + -2) (5 * 4 + 2r * 4) = 6(r + -2) (20 + 8r) = 6(r + -2) Reorder the terms: 20 + 8r = 6(-2 + r) 20 + 8r = (-2 * 6 + r * 6) 20 + 8r = (-12 + 6r) Solving 20 + 8r = -12 + 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. 20 + 8r + -6r = -12 + 6r + -6r Combine like terms: 8r + -6r = 2r 20 + 2r = -12 + 6r + -6r Combine like terms: 6r + -6r = 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 = -32 2r = -32 Divide each side by '2'. r = -16 Simplifying r = -16
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