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Simplifying 6(4z + -1) + -3(z + 4) = 2(z + 1) Reorder the terms: 6(-1 + 4z) + -3(z + 4) = 2(z + 1) (-1 * 6 + 4z * 6) + -3(z + 4) = 2(z + 1) (-6 + 24z) + -3(z + 4) = 2(z + 1) Reorder the terms: -6 + 24z + -3(4 + z) = 2(z + 1) -6 + 24z + (4 * -3 + z * -3) = 2(z + 1) -6 + 24z + (-12 + -3z) = 2(z + 1) Reorder the terms: -6 + -12 + 24z + -3z = 2(z + 1) Combine like terms: -6 + -12 = -18 -18 + 24z + -3z = 2(z + 1) Combine like terms: 24z + -3z = 21z -18 + 21z = 2(z + 1) Reorder the terms: -18 + 21z = 2(1 + z) -18 + 21z = (1 * 2 + z * 2) -18 + 21z = (2 + 2z) Solving -18 + 21z = 2 + 2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2z' to each side of the equation. -18 + 21z + -2z = 2 + 2z + -2z Combine like terms: 21z + -2z = 19z -18 + 19z = 2 + 2z + -2z Combine like terms: 2z + -2z = 0 -18 + 19z = 2 + 0 -18 + 19z = 2 Add '18' to each side of the equation. -18 + 18 + 19z = 2 + 18 Combine like terms: -18 + 18 = 0 0 + 19z = 2 + 18 19z = 2 + 18 Combine like terms: 2 + 18 = 20 19z = 20 Divide each side by '19'. z = 1.052631579 Simplifying z = 1.052631579
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