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Simplifying 5(x + -4) + 4 + r = 4(z + 3) + x Reorder the terms: 5(-4 + x) + 4 + r = 4(z + 3) + x (-4 * 5 + x * 5) + 4 + r = 4(z + 3) + x (-20 + 5x) + 4 + r = 4(z + 3) + x Reorder the terms: -20 + 4 + r + 5x = 4(z + 3) + x Combine like terms: -20 + 4 = -16 -16 + r + 5x = 4(z + 3) + x Reorder the terms: -16 + r + 5x = 4(3 + z) + x -16 + r + 5x = (3 * 4 + z * 4) + x -16 + r + 5x = (12 + 4z) + x Reorder the terms: -16 + r + 5x = 12 + x + 4z Solving -16 + r + 5x = 12 + x + 4z 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 + r + 16 + 5x = 12 + x + 16 + 4z Reorder the terms: -16 + 16 + r + 5x = 12 + x + 16 + 4z Combine like terms: -16 + 16 = 0 0 + r + 5x = 12 + x + 16 + 4z r + 5x = 12 + x + 16 + 4z Reorder the terms: r + 5x = 12 + 16 + x + 4z Combine like terms: 12 + 16 = 28 r + 5x = 28 + x + 4z Add '-5x' to each side of the equation. r + 5x + -5x = 28 + x + -5x + 4z Combine like terms: 5x + -5x = 0 r + 0 = 28 + x + -5x + 4z r = 28 + x + -5x + 4z Combine like terms: x + -5x = -4x r = 28 + -4x + 4z Simplifying r = 28 + -4x + 4z
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