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