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Simplifying -4(-8 + -5r) + -2(-6r + -3) = 6 (-8 * -4 + -5r * -4) + -2(-6r + -3) = 6 (32 + 20r) + -2(-6r + -3) = 6 Reorder the terms: 32 + 20r + -2(-3 + -6r) = 6 32 + 20r + (-3 * -2 + -6r * -2) = 6 32 + 20r + (6 + 12r) = 6 Reorder the terms: 32 + 6 + 20r + 12r = 6 Combine like terms: 32 + 6 = 38 38 + 20r + 12r = 6 Combine like terms: 20r + 12r = 32r 38 + 32r = 6 Solving 38 + 32r = 6 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-38' to each side of the equation. 38 + -38 + 32r = 6 + -38 Combine like terms: 38 + -38 = 0 0 + 32r = 6 + -38 32r = 6 + -38 Combine like terms: 6 + -38 = -32 32r = -32 Divide each side by '32'. r = -1 Simplifying r = -1
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