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Simplifying -3 + -9(z + -2) = 4(3z + 3) + 7 Reorder the terms: -3 + -9(-2 + z) = 4(3z + 3) + 7 -3 + (-2 * -9 + z * -9) = 4(3z + 3) + 7 -3 + (18 + -9z) = 4(3z + 3) + 7 Combine like terms: -3 + 18 = 15 15 + -9z = 4(3z + 3) + 7 Reorder the terms: 15 + -9z = 4(3 + 3z) + 7 15 + -9z = (3 * 4 + 3z * 4) + 7 15 + -9z = (12 + 12z) + 7 Reorder the terms: 15 + -9z = 12 + 7 + 12z Combine like terms: 12 + 7 = 19 15 + -9z = 19 + 12z Solving 15 + -9z = 19 + 12z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-12z' to each side of the equation. 15 + -9z + -12z = 19 + 12z + -12z Combine like terms: -9z + -12z = -21z 15 + -21z = 19 + 12z + -12z Combine like terms: 12z + -12z = 0 15 + -21z = 19 + 0 15 + -21z = 19 Add '-15' to each side of the equation. 15 + -15 + -21z = 19 + -15 Combine like terms: 15 + -15 = 0 0 + -21z = 19 + -15 -21z = 19 + -15 Combine like terms: 19 + -15 = 4 -21z = 4 Divide each side by '-21'. z = -0.1904761905 Simplifying z = -0.1904761905
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