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Simplifying 6r + 2(3r + -4) = 16r + 4 Reorder the terms: 6r + 2(-4 + 3r) = 16r + 4 6r + (-4 * 2 + 3r * 2) = 16r + 4 6r + (-8 + 6r) = 16r + 4 Reorder the terms: -8 + 6r + 6r = 16r + 4 Combine like terms: 6r + 6r = 12r -8 + 12r = 16r + 4 Reorder the terms: -8 + 12r = 4 + 16r Solving -8 + 12r = 4 + 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. -8 + 12r + -16r = 4 + 16r + -16r Combine like terms: 12r + -16r = -4r -8 + -4r = 4 + 16r + -16r Combine like terms: 16r + -16r = 0 -8 + -4r = 4 + 0 -8 + -4r = 4 Add '8' to each side of the equation. -8 + 8 + -4r = 4 + 8 Combine like terms: -8 + 8 = 0 0 + -4r = 4 + 8 -4r = 4 + 8 Combine like terms: 4 + 8 = 12 -4r = 12 Divide each side by '-4'. r = -3 Simplifying r = -3
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