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Simplifying 4(z + 2) + -2z = 10 + 3(a + -3) Reorder the terms: 4(2 + z) + -2z = 10 + 3(a + -3) (2 * 4 + z * 4) + -2z = 10 + 3(a + -3) (8 + 4z) + -2z = 10 + 3(a + -3) Combine like terms: 4z + -2z = 2z 8 + 2z = 10 + 3(a + -3) Reorder the terms: 8 + 2z = 10 + 3(-3 + a) 8 + 2z = 10 + (-3 * 3 + a * 3) 8 + 2z = 10 + (-9 + 3a) Combine like terms: 10 + -9 = 1 8 + 2z = 1 + 3a Solving 8 + 2z = 1 + 3a 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 + 2z = 1 + -8 + 3a Combine like terms: 8 + -8 = 0 0 + 2z = 1 + -8 + 3a 2z = 1 + -8 + 3a Combine like terms: 1 + -8 = -7 2z = -7 + 3a Divide each side by '2'. z = -3.5 + 1.5a Simplifying z = -3.5 + 1.5a
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