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Simplifying 5z + 8 = 3 + 2(3x + -4) Reorder the terms: 8 + 5z = 3 + 2(3x + -4) Reorder the terms: 8 + 5z = 3 + 2(-4 + 3x) 8 + 5z = 3 + (-4 * 2 + 3x * 2) 8 + 5z = 3 + (-8 + 6x) Combine like terms: 3 + -8 = -5 8 + 5z = -5 + 6x Solving 8 + 5z = -5 + 6x Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 5z = -5 + -8 + 6x Combine like terms: 8 + -8 = 0 0 + 5z = -5 + -8 + 6x 5z = -5 + -8 + 6x Combine like terms: -5 + -8 = -13 5z = -13 + 6x Divide each side by '5'. z = -2.6 + 1.2x Simplifying z = -2.6 + 1.2x
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