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Simplifying 7(z + -3) + 8z + -4 = 0 Reorder the terms: 7(-3 + z) + 8z + -4 = 0 (-3 * 7 + z * 7) + 8z + -4 = 0 (-21 + 7z) + 8z + -4 = 0 Reorder the terms: -21 + -4 + 7z + 8z = 0 Combine like terms: -21 + -4 = -25 -25 + 7z + 8z = 0 Combine like terms: 7z + 8z = 15z -25 + 15z = 0 Solving -25 + 15z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25 + 15z = 0 + 25 Combine like terms: -25 + 25 = 0 0 + 15z = 0 + 25 15z = 0 + 25 Combine like terms: 0 + 25 = 25 15z = 25 Divide each side by '15'. z = 1.666666667 Simplifying z = 1.666666667
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