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Simplifying 2 + 3(2z + -7) + -3(4z + 6) + -7 = 0 Reorder the terms: 2 + 3(-7 + 2z) + -3(4z + 6) + -7 = 0 2 + (-7 * 3 + 2z * 3) + -3(4z + 6) + -7 = 0 2 + (-21 + 6z) + -3(4z + 6) + -7 = 0 Reorder the terms: 2 + -21 + 6z + -3(6 + 4z) + -7 = 0 2 + -21 + 6z + (6 * -3 + 4z * -3) + -7 = 0 2 + -21 + 6z + (-18 + -12z) + -7 = 0 Reorder the terms: 2 + -21 + -18 + -7 + 6z + -12z = 0 Combine like terms: 2 + -21 = -19 -19 + -18 + -7 + 6z + -12z = 0 Combine like terms: -19 + -18 = -37 -37 + -7 + 6z + -12z = 0 Combine like terms: -37 + -7 = -44 -44 + 6z + -12z = 0 Combine like terms: 6z + -12z = -6z -44 + -6z = 0 Solving -44 + -6z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '44' to each side of the equation. -44 + 44 + -6z = 0 + 44 Combine like terms: -44 + 44 = 0 0 + -6z = 0 + 44 -6z = 0 + 44 Combine like terms: 0 + 44 = 44 -6z = 44 Divide each side by '-6'. z = -7.333333333 Simplifying z = -7.333333333
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