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Simplifying 6.5(z + -2) = (3.5 + 4x) * 2 + -2 Reorder the terms: 6.5(-2 + z) = (3.5 + 4x) * 2 + -2 (-2 * 6.5 + z * 6.5) = (3.5 + 4x) * 2 + -2 (-13 + 6.5z) = (3.5 + 4x) * 2 + -2 Reorder the terms for easier multiplication: -13 + 6.5z = 2(3.5 + 4x) + -2 -13 + 6.5z = (3.5 * 2 + 4x * 2) + -2 -13 + 6.5z = (7 + 8x) + -2 Reorder the terms: -13 + 6.5z = 7 + -2 + 8x Combine like terms: 7 + -2 = 5 -13 + 6.5z = 5 + 8x Solving -13 + 6.5z = 5 + 8x Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + 6.5z = 5 + 13 + 8x Combine like terms: -13 + 13 = 0 0 + 6.5z = 5 + 13 + 8x 6.5z = 5 + 13 + 8x Combine like terms: 5 + 13 = 18 6.5z = 18 + 8x Divide each side by '6.5'. z = 2.769230769 + 1.230769231x Simplifying z = 2.769230769 + 1.230769231x
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