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Simplifying 5(3z + -1) + -4(z + 8) = 6z + 1 Reorder the terms: 5(-1 + 3z) + -4(z + 8) = 6z + 1 (-1 * 5 + 3z * 5) + -4(z + 8) = 6z + 1 (-5 + 15z) + -4(z + 8) = 6z + 1 Reorder the terms: -5 + 15z + -4(8 + z) = 6z + 1 -5 + 15z + (8 * -4 + z * -4) = 6z + 1 -5 + 15z + (-32 + -4z) = 6z + 1 Reorder the terms: -5 + -32 + 15z + -4z = 6z + 1 Combine like terms: -5 + -32 = -37 -37 + 15z + -4z = 6z + 1 Combine like terms: 15z + -4z = 11z -37 + 11z = 6z + 1 Reorder the terms: -37 + 11z = 1 + 6z Solving -37 + 11z = 1 + 6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-6z' to each side of the equation. -37 + 11z + -6z = 1 + 6z + -6z Combine like terms: 11z + -6z = 5z -37 + 5z = 1 + 6z + -6z Combine like terms: 6z + -6z = 0 -37 + 5z = 1 + 0 -37 + 5z = 1 Add '37' to each side of the equation. -37 + 37 + 5z = 1 + 37 Combine like terms: -37 + 37 = 0 0 + 5z = 1 + 37 5z = 1 + 37 Combine like terms: 1 + 37 = 38 5z = 38 Divide each side by '5'. z = 7.6 Simplifying z = 7.6
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