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Simplifying 46 = -2r + -4(4r + 2) Reorder the terms: 46 = -2r + -4(2 + 4r) 46 = -2r + (2 * -4 + 4r * -4) 46 = -2r + (-8 + -16r) Reorder the terms: 46 = -8 + -2r + -16r Combine like terms: -2r + -16r = -18r 46 = -8 + -18r Solving 46 = -8 + -18r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '18r' to each side of the equation. 46 + 18r = -8 + -18r + 18r Combine like terms: -18r + 18r = 0 46 + 18r = -8 + 0 46 + 18r = -8 Add '-46' to each side of the equation. 46 + -46 + 18r = -8 + -46 Combine like terms: 46 + -46 = 0 0 + 18r = -8 + -46 18r = -8 + -46 Combine like terms: -8 + -46 = -54 18r = -54 Divide each side by '18'. r = -3 Simplifying r = -3
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