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Simplifying 4(4r + -4) + -2(5r + 4) = 12 Reorder the terms: 4(-4 + 4r) + -2(5r + 4) = 12 (-4 * 4 + 4r * 4) + -2(5r + 4) = 12 (-16 + 16r) + -2(5r + 4) = 12 Reorder the terms: -16 + 16r + -2(4 + 5r) = 12 -16 + 16r + (4 * -2 + 5r * -2) = 12 -16 + 16r + (-8 + -10r) = 12 Reorder the terms: -16 + -8 + 16r + -10r = 12 Combine like terms: -16 + -8 = -24 -24 + 16r + -10r = 12 Combine like terms: 16r + -10r = 6r -24 + 6r = 12 Solving -24 + 6r = 12 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + 6r = 12 + 24 Combine like terms: -24 + 24 = 0 0 + 6r = 12 + 24 6r = 12 + 24 Combine like terms: 12 + 24 = 36 6r = 36 Divide each side by '6'. r = 6 Simplifying r = 6
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