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Simplifying 8(r + -5) = 4(8 + -7r) Reorder the terms: 8(-5 + r) = 4(8 + -7r) (-5 * 8 + r * 8) = 4(8 + -7r) (-40 + 8r) = 4(8 + -7r) -40 + 8r = (8 * 4 + -7r * 4) -40 + 8r = (32 + -28r) Solving -40 + 8r = 32 + -28r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '28r' to each side of the equation. -40 + 8r + 28r = 32 + -28r + 28r Combine like terms: 8r + 28r = 36r -40 + 36r = 32 + -28r + 28r Combine like terms: -28r + 28r = 0 -40 + 36r = 32 + 0 -40 + 36r = 32 Add '40' to each side of the equation. -40 + 40 + 36r = 32 + 40 Combine like terms: -40 + 40 = 0 0 + 36r = 32 + 40 36r = 32 + 40 Combine like terms: 32 + 40 = 72 36r = 72 Divide each side by '36'. r = 2 Simplifying r = 2
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