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Simplifying 8r + -2(2r + 2) = 4(4r + -5) + -4 Reorder the terms: 8r + -2(2 + 2r) = 4(4r + -5) + -4 8r + (2 * -2 + 2r * -2) = 4(4r + -5) + -4 8r + (-4 + -4r) = 4(4r + -5) + -4 Reorder the terms: -4 + 8r + -4r = 4(4r + -5) + -4 Combine like terms: 8r + -4r = 4r -4 + 4r = 4(4r + -5) + -4 Reorder the terms: -4 + 4r = 4(-5 + 4r) + -4 -4 + 4r = (-5 * 4 + 4r * 4) + -4 -4 + 4r = (-20 + 16r) + -4 Reorder the terms: -4 + 4r = -20 + -4 + 16r Combine like terms: -20 + -4 = -24 -4 + 4r = -24 + 16r Solving -4 + 4r = -24 + 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. -4 + 4r + -16r = -24 + 16r + -16r Combine like terms: 4r + -16r = -12r -4 + -12r = -24 + 16r + -16r Combine like terms: 16r + -16r = 0 -4 + -12r = -24 + 0 -4 + -12r = -24 Add '4' to each side of the equation. -4 + 4 + -12r = -24 + 4 Combine like terms: -4 + 4 = 0 0 + -12r = -24 + 4 -12r = -24 + 4 Combine like terms: -24 + 4 = -20 -12r = -20 Divide each side by '-12'. r = 1.666666667 Simplifying r = 1.666666667
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