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Simplifying -3(4r + 8) + 4(r + -5) = 0 Reorder the terms: -3(8 + 4r) + 4(r + -5) = 0 (8 * -3 + 4r * -3) + 4(r + -5) = 0 (-24 + -12r) + 4(r + -5) = 0 Reorder the terms: -24 + -12r + 4(-5 + r) = 0 -24 + -12r + (-5 * 4 + r * 4) = 0 -24 + -12r + (-20 + 4r) = 0 Reorder the terms: -24 + -20 + -12r + 4r = 0 Combine like terms: -24 + -20 = -44 -44 + -12r + 4r = 0 Combine like terms: -12r + 4r = -8r -44 + -8r = 0 Solving -44 + -8r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '44' to each side of the equation. -44 + 44 + -8r = 0 + 44 Combine like terms: -44 + 44 = 0 0 + -8r = 0 + 44 -8r = 0 + 44 Combine like terms: 0 + 44 = 44 -8r = 44 Divide each side by '-8'. r = -5.5 Simplifying r = -5.5
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