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Simplifying 6(2z + -1) + -3(z + 4) = 4(z + 1) Reorder the terms: 6(-1 + 2z) + -3(z + 4) = 4(z + 1) (-1 * 6 + 2z * 6) + -3(z + 4) = 4(z + 1) (-6 + 12z) + -3(z + 4) = 4(z + 1) Reorder the terms: -6 + 12z + -3(4 + z) = 4(z + 1) -6 + 12z + (4 * -3 + z * -3) = 4(z + 1) -6 + 12z + (-12 + -3z) = 4(z + 1) Reorder the terms: -6 + -12 + 12z + -3z = 4(z + 1) Combine like terms: -6 + -12 = -18 -18 + 12z + -3z = 4(z + 1) Combine like terms: 12z + -3z = 9z -18 + 9z = 4(z + 1) Reorder the terms: -18 + 9z = 4(1 + z) -18 + 9z = (1 * 4 + z * 4) -18 + 9z = (4 + 4z) Solving -18 + 9z = 4 + 4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4z' to each side of the equation. -18 + 9z + -4z = 4 + 4z + -4z Combine like terms: 9z + -4z = 5z -18 + 5z = 4 + 4z + -4z Combine like terms: 4z + -4z = 0 -18 + 5z = 4 + 0 -18 + 5z = 4 Add '18' to each side of the equation. -18 + 18 + 5z = 4 + 18 Combine like terms: -18 + 18 = 0 0 + 5z = 4 + 18 5z = 4 + 18 Combine like terms: 4 + 18 = 22 5z = 22 Divide each side by '5'. z = 4.4 Simplifying z = 4.4
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