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Simplifying -5(4r + 8) = 16 + -3r Reorder the terms: -5(8 + 4r) = 16 + -3r (8 * -5 + 4r * -5) = 16 + -3r (-40 + -20r) = 16 + -3r Solving -40 + -20r = 16 + -3r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '3r' to each side of the equation. -40 + -20r + 3r = 16 + -3r + 3r Combine like terms: -20r + 3r = -17r -40 + -17r = 16 + -3r + 3r Combine like terms: -3r + 3r = 0 -40 + -17r = 16 + 0 -40 + -17r = 16 Add '40' to each side of the equation. -40 + 40 + -17r = 16 + 40 Combine like terms: -40 + 40 = 0 0 + -17r = 16 + 40 -17r = 16 + 40 Combine like terms: 16 + 40 = 56 -17r = 56 Divide each side by '-17'. r = -3.294117647 Simplifying r = -3.294117647
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