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Simplifying 8(r + -5) = -8(5 + 2r) + 3r Reorder the terms: 8(-5 + r) = -8(5 + 2r) + 3r (-5 * 8 + r * 8) = -8(5 + 2r) + 3r (-40 + 8r) = -8(5 + 2r) + 3r -40 + 8r = (5 * -8 + 2r * -8) + 3r -40 + 8r = (-40 + -16r) + 3r Combine like terms: -16r + 3r = -13r -40 + 8r = -40 + -13r Add '40' to each side of the equation. -40 + 40 + 8r = -40 + 40 + -13r Combine like terms: -40 + 40 = 0 0 + 8r = -40 + 40 + -13r 8r = -40 + 40 + -13r Combine like terms: -40 + 40 = 0 8r = 0 + -13r 8r = -13r Solving 8r = -13r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '13r' to each side of the equation. 8r + 13r = -13r + 13r Combine like terms: 8r + 13r = 21r 21r = -13r + 13r Combine like terms: -13r + 13r = 0 21r = 0 Divide each side by '21'. r = 0 Simplifying r = 0
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