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Simplifying 6(4z + -3) * 2 + 7(4z + -3) + -3 = 0 Reorder the terms: 6(-3 + 4z) * 2 + 7(4z + -3) + -3 = 0 Reorder the terms for easier multiplication: 6 * 2(-3 + 4z) + 7(4z + -3) + -3 = 0 Multiply 6 * 2 12(-3 + 4z) + 7(4z + -3) + -3 = 0 (-3 * 12 + 4z * 12) + 7(4z + -3) + -3 = 0 (-36 + 48z) + 7(4z + -3) + -3 = 0 Reorder the terms: -36 + 48z + 7(-3 + 4z) + -3 = 0 -36 + 48z + (-3 * 7 + 4z * 7) + -3 = 0 -36 + 48z + (-21 + 28z) + -3 = 0 Reorder the terms: -36 + -21 + -3 + 48z + 28z = 0 Combine like terms: -36 + -21 = -57 -57 + -3 + 48z + 28z = 0 Combine like terms: -57 + -3 = -60 -60 + 48z + 28z = 0 Combine like terms: 48z + 28z = 76z -60 + 76z = 0 Solving -60 + 76z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '60' to each side of the equation. -60 + 60 + 76z = 0 + 60 Combine like terms: -60 + 60 = 0 0 + 76z = 0 + 60 76z = 0 + 60 Combine like terms: 0 + 60 = 60 76z = 60 Divide each side by '76'. z = 0.7894736842 Simplifying z = 0.7894736842
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