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Simplifying 5 + 3(2z + -2) + -3(4z + 8) + -7 = 0 Reorder the terms: 5 + 3(-2 + 2z) + -3(4z + 8) + -7 = 0 5 + (-2 * 3 + 2z * 3) + -3(4z + 8) + -7 = 0 5 + (-6 + 6z) + -3(4z + 8) + -7 = 0 Reorder the terms: 5 + -6 + 6z + -3(8 + 4z) + -7 = 0 5 + -6 + 6z + (8 * -3 + 4z * -3) + -7 = 0 5 + -6 + 6z + (-24 + -12z) + -7 = 0 Reorder the terms: 5 + -6 + -24 + -7 + 6z + -12z = 0 Combine like terms: 5 + -6 = -1 -1 + -24 + -7 + 6z + -12z = 0 Combine like terms: -1 + -24 = -25 -25 + -7 + 6z + -12z = 0 Combine like terms: -25 + -7 = -32 -32 + 6z + -12z = 0 Combine like terms: 6z + -12z = -6z -32 + -6z = 0 Solving -32 + -6z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '32' to each side of the equation. -32 + 32 + -6z = 0 + 32 Combine like terms: -32 + 32 = 0 0 + -6z = 0 + 32 -6z = 0 + 32 Combine like terms: 0 + 32 = 32 -6z = 32 Divide each side by '-6'. z = -5.333333333 Simplifying z = -5.333333333
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