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Simplifying 6(4z + -1) + -5(z + 9) = 16(z + 1) Reorder the terms: 6(-1 + 4z) + -5(z + 9) = 16(z + 1) (-1 * 6 + 4z * 6) + -5(z + 9) = 16(z + 1) (-6 + 24z) + -5(z + 9) = 16(z + 1) Reorder the terms: -6 + 24z + -5(9 + z) = 16(z + 1) -6 + 24z + (9 * -5 + z * -5) = 16(z + 1) -6 + 24z + (-45 + -5z) = 16(z + 1) Reorder the terms: -6 + -45 + 24z + -5z = 16(z + 1) Combine like terms: -6 + -45 = -51 -51 + 24z + -5z = 16(z + 1) Combine like terms: 24z + -5z = 19z -51 + 19z = 16(z + 1) Reorder the terms: -51 + 19z = 16(1 + z) -51 + 19z = (1 * 16 + z * 16) -51 + 19z = (16 + 16z) Solving -51 + 19z = 16 + 16z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-16z' to each side of the equation. -51 + 19z + -16z = 16 + 16z + -16z Combine like terms: 19z + -16z = 3z -51 + 3z = 16 + 16z + -16z Combine like terms: 16z + -16z = 0 -51 + 3z = 16 + 0 -51 + 3z = 16 Add '51' to each side of the equation. -51 + 51 + 3z = 16 + 51 Combine like terms: -51 + 51 = 0 0 + 3z = 16 + 51 3z = 16 + 51 Combine like terms: 16 + 51 = 67 3z = 67 Divide each side by '3'. z = 22.33333333 Simplifying z = 22.33333333
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