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Simplifying -1(3x + 2) + -5z + -18 + 3x + -3z = 0 Reorder the terms: -1(2 + 3x) + -5z + -18 + 3x + -3z = 0 (2 * -1 + 3x * -1) + -5z + -18 + 3x + -3z = 0 (-2 + -3x) + -5z + -18 + 3x + -3z = 0 Reorder the terms: -2 + -18 + -3x + 3x + -5z + -3z = 0 Combine like terms: -2 + -18 = -20 -20 + -3x + 3x + -5z + -3z = 0 Combine like terms: -3x + 3x = 0 -20 + 0 + -5z + -3z = 0 -20 + -5z + -3z = 0 Combine like terms: -5z + -3z = -8z -20 + -8z = 0 Solving -20 + -8z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + -8z = 0 + 20 Combine like terms: -20 + 20 = 0 0 + -8z = 0 + 20 -8z = 0 + 20 Combine like terms: 0 + 20 = 20 -8z = 20 Divide each side by '-8'. z = -2.5 Simplifying z = -2.5
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