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Simplifying 5[x + -4] + 4 + r = 4[x + 3] + x Reorder the terms: 5[-4 + x] + 4 + r = 4[x + 3] + x [-4 * 5 + x * 5] + 4 + r = 4[x + 3] + x [-20 + 5x] + 4 + r = 4[x + 3] + x Reorder the terms: -20 + 4 + r + 5x = 4[x + 3] + x Combine like terms: -20 + 4 = -16 -16 + r + 5x = 4[x + 3] + x Reorder the terms: -16 + r + 5x = 4[3 + x] + x -16 + r + 5x = [3 * 4 + x * 4] + x -16 + r + 5x = [12 + 4x] + x Combine like terms: 4x + x = 5x -16 + r + 5x = 12 + 5x Add '-5x' to each side of the equation. -16 + r + 5x + -5x = 12 + 5x + -5x Combine like terms: 5x + -5x = 0 -16 + r + 0 = 12 + 5x + -5x -16 + r = 12 + 5x + -5x Combine like terms: 5x + -5x = 0 -16 + r = 12 + 0 -16 + r = 12 Solving -16 + r = 12 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + r = 12 + 16 Combine like terms: -16 + 16 = 0 0 + r = 12 + 16 r = 12 + 16 Combine like terms: 12 + 16 = 28 r = 28 Simplifying r = 28
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