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Simplifying 14(6) + -15(2) + -12z = 18 Multiply 14 * 6 84 + -15(2) + -12z = 18 Multiply -15 * 2 84 + -30 + -12z = 18 Combine like terms: 84 + -30 = 54 54 + -12z = 18 Solving 54 + -12z = 18 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-54' to each side of the equation. 54 + -54 + -12z = 18 + -54 Combine like terms: 54 + -54 = 0 0 + -12z = 18 + -54 -12z = 18 + -54 Combine like terms: 18 + -54 = -36 -12z = -36 Divide each side by '-12'. z = 3 Simplifying z = 3
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