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Simplifying 5(r + -8) + -4(6r + -4) = -8r + -8r Reorder the terms: 5(-8 + r) + -4(6r + -4) = -8r + -8r (-8 * 5 + r * 5) + -4(6r + -4) = -8r + -8r (-40 + 5r) + -4(6r + -4) = -8r + -8r Reorder the terms: -40 + 5r + -4(-4 + 6r) = -8r + -8r -40 + 5r + (-4 * -4 + 6r * -4) = -8r + -8r -40 + 5r + (16 + -24r) = -8r + -8r Reorder the terms: -40 + 16 + 5r + -24r = -8r + -8r Combine like terms: -40 + 16 = -24 -24 + 5r + -24r = -8r + -8r Combine like terms: 5r + -24r = -19r -24 + -19r = -8r + -8r Combine like terms: -8r + -8r = -16r -24 + -19r = -16r Solving -24 + -19r = -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. -24 + -19r + 16r = -16r + 16r Combine like terms: -19r + 16r = -3r -24 + -3r = -16r + 16r Combine like terms: -16r + 16r = 0 -24 + -3r = 0 Add '24' to each side of the equation. -24 + 24 + -3r = 0 + 24 Combine like terms: -24 + 24 = 0 0 + -3r = 0 + 24 -3r = 0 + 24 Combine like terms: 0 + 24 = 24 -3r = 24 Divide each side by '-3'. r = -8 Simplifying r = -8
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