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Simplifying 8(3r + -5) = -8(-2 + -2r) Reorder the terms: 8(-5 + 3r) = -8(-2 + -2r) (-5 * 8 + 3r * 8) = -8(-2 + -2r) (-40 + 24r) = -8(-2 + -2r) -40 + 24r = (-2 * -8 + -2r * -8) -40 + 24r = (16 + 16r) Solving -40 + 24r = 16 + 16r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-16r' to each side of the equation. -40 + 24r + -16r = 16 + 16r + -16r Combine like terms: 24r + -16r = 8r -40 + 8r = 16 + 16r + -16r Combine like terms: 16r + -16r = 0 -40 + 8r = 16 + 0 -40 + 8r = 16 Add '40' to each side of the equation. -40 + 40 + 8r = 16 + 40 Combine like terms: -40 + 40 = 0 0 + 8r = 16 + 40 8r = 16 + 40 Combine like terms: 16 + 40 = 56 8r = 56 Divide each side by '8'. r = 7 Simplifying r = 7
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