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Simplifying 7(z + 3) + -4(z + 2) = 19 Reorder the terms: 7(3 + z) + -4(z + 2) = 19 (3 * 7 + z * 7) + -4(z + 2) = 19 (21 + 7z) + -4(z + 2) = 19 Reorder the terms: 21 + 7z + -4(2 + z) = 19 21 + 7z + (2 * -4 + z * -4) = 19 21 + 7z + (-8 + -4z) = 19 Reorder the terms: 21 + -8 + 7z + -4z = 19 Combine like terms: 21 + -8 = 13 13 + 7z + -4z = 19 Combine like terms: 7z + -4z = 3z 13 + 3z = 19 Solving 13 + 3z = 19 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 3z = 19 + -13 Combine like terms: 13 + -13 = 0 0 + 3z = 19 + -13 3z = 19 + -13 Combine like terms: 19 + -13 = 6 3z = 6 Divide each side by '3'. z = 2 Simplifying z = 2
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