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Simplifying 4(2z + -3) + (z + 5) = 0 Reorder the terms: 4(-3 + 2z) + (z + 5) = 0 (-3 * 4 + 2z * 4) + (z + 5) = 0 (-12 + 8z) + (z + 5) = 0 Reorder the terms: -12 + 8z + (5 + z) = 0 Remove parenthesis around (5 + z) -12 + 8z + 5 + z = 0 Reorder the terms: -12 + 5 + 8z + z = 0 Combine like terms: -12 + 5 = -7 -7 + 8z + z = 0 Combine like terms: 8z + z = 9z -7 + 9z = 0 Solving -7 + 9z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 9z = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 9z = 0 + 7 9z = 0 + 7 Combine like terms: 0 + 7 = 7 9z = 7 Divide each side by '9'. z = 0.7777777778 Simplifying z = 0.7777777778
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