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Simplifying 2(r + 4) = 4 + -4(4x + 1) Reorder the terms: 2(4 + r) = 4 + -4(4x + 1) (4 * 2 + r * 2) = 4 + -4(4x + 1) (8 + 2r) = 4 + -4(4x + 1) Reorder the terms: 8 + 2r = 4 + -4(1 + 4x) 8 + 2r = 4 + (1 * -4 + 4x * -4) 8 + 2r = 4 + (-4 + -16x) Combine like terms: 4 + -4 = 0 8 + 2r = 0 + -16x 8 + 2r = -16x Solving 8 + 2r = -16x Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 2r = -8 + -16x Combine like terms: 8 + -8 = 0 0 + 2r = -8 + -16x 2r = -8 + -16x Divide each side by '2'. r = -4 + -8x Simplifying r = -4 + -8x
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