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Simplifying 6(3z + -1) + -4(z + 3) = 3(z + 1) Reorder the terms: 6(-1 + 3z) + -4(z + 3) = 3(z + 1) (-1 * 6 + 3z * 6) + -4(z + 3) = 3(z + 1) (-6 + 18z) + -4(z + 3) = 3(z + 1) Reorder the terms: -6 + 18z + -4(3 + z) = 3(z + 1) -6 + 18z + (3 * -4 + z * -4) = 3(z + 1) -6 + 18z + (-12 + -4z) = 3(z + 1) Reorder the terms: -6 + -12 + 18z + -4z = 3(z + 1) Combine like terms: -6 + -12 = -18 -18 + 18z + -4z = 3(z + 1) Combine like terms: 18z + -4z = 14z -18 + 14z = 3(z + 1) Reorder the terms: -18 + 14z = 3(1 + z) -18 + 14z = (1 * 3 + z * 3) -18 + 14z = (3 + 3z) Solving -18 + 14z = 3 + 3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3z' to each side of the equation. -18 + 14z + -3z = 3 + 3z + -3z Combine like terms: 14z + -3z = 11z -18 + 11z = 3 + 3z + -3z Combine like terms: 3z + -3z = 0 -18 + 11z = 3 + 0 -18 + 11z = 3 Add '18' to each side of the equation. -18 + 18 + 11z = 3 + 18 Combine like terms: -18 + 18 = 0 0 + 11z = 3 + 18 11z = 3 + 18 Combine like terms: 3 + 18 = 21 11z = 21 Divide each side by '11'. z = 1.909090909 Simplifying z = 1.909090909
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