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Simplifying 2(4 + r) + -3 = 5x + -6 + 3x (4 * 2 + r * 2) + -3 = 5x + -6 + 3x (8 + 2r) + -3 = 5x + -6 + 3x Reorder the terms: 8 + -3 + 2r = 5x + -6 + 3x Combine like terms: 8 + -3 = 5 5 + 2r = 5x + -6 + 3x Reorder the terms: 5 + 2r = -6 + 5x + 3x Combine like terms: 5x + 3x = 8x 5 + 2r = -6 + 8x Solving 5 + 2r = -6 + 8x Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 2r = -6 + -5 + 8x Combine like terms: 5 + -5 = 0 0 + 2r = -6 + -5 + 8x 2r = -6 + -5 + 8x Combine like terms: -6 + -5 = -11 2r = -11 + 8x Divide each side by '2'. r = -5.5 + 4x Simplifying r = -5.5 + 4x
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