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Simplifying 6(3z + -1) + -3(z + 4) = 8(2 + 1) Reorder the terms: 6(-1 + 3z) + -3(z + 4) = 8(2 + 1) (-1 * 6 + 3z * 6) + -3(z + 4) = 8(2 + 1) (-6 + 18z) + -3(z + 4) = 8(2 + 1) Reorder the terms: -6 + 18z + -3(4 + z) = 8(2 + 1) -6 + 18z + (4 * -3 + z * -3) = 8(2 + 1) -6 + 18z + (-12 + -3z) = 8(2 + 1) Reorder the terms: -6 + -12 + 18z + -3z = 8(2 + 1) Combine like terms: -6 + -12 = -18 -18 + 18z + -3z = 8(2 + 1) Combine like terms: 18z + -3z = 15z -18 + 15z = 8(2 + 1) Combine like terms: 2 + 1 = 3 -18 + 15z = 8(3) Multiply 8 * 3 -18 + 15z = 24 Solving -18 + 15z = 24 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + 15z = 24 + 18 Combine like terms: -18 + 18 = 0 0 + 15z = 24 + 18 15z = 24 + 18 Combine like terms: 24 + 18 = 42 15z = 42 Divide each side by '15'. z = 2.8 Simplifying z = 2.8
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