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Simplifying 4(3z + -1) + -3(z + 5) = 6(2 + 1) Reorder the terms: 4(-1 + 3z) + -3(z + 5) = 6(2 + 1) (-1 * 4 + 3z * 4) + -3(z + 5) = 6(2 + 1) (-4 + 12z) + -3(z + 5) = 6(2 + 1) Reorder the terms: -4 + 12z + -3(5 + z) = 6(2 + 1) -4 + 12z + (5 * -3 + z * -3) = 6(2 + 1) -4 + 12z + (-15 + -3z) = 6(2 + 1) Reorder the terms: -4 + -15 + 12z + -3z = 6(2 + 1) Combine like terms: -4 + -15 = -19 -19 + 12z + -3z = 6(2 + 1) Combine like terms: 12z + -3z = 9z -19 + 9z = 6(2 + 1) Combine like terms: 2 + 1 = 3 -19 + 9z = 6(3) Multiply 6 * 3 -19 + 9z = 18 Solving -19 + 9z = 18 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + 9z = 18 + 19 Combine like terms: -19 + 19 = 0 0 + 9z = 18 + 19 9z = 18 + 19 Combine like terms: 18 + 19 = 37 9z = 37 Divide each side by '9'. z = 4.111111111 Simplifying z = 4.111111111
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