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Simplifying 7(z + -3) + 8z + -2 = 0 Reorder the terms: 7(-3 + z) + 8z + -2 = 0 (-3 * 7 + z * 7) + 8z + -2 = 0 (-21 + 7z) + 8z + -2 = 0 Reorder the terms: -21 + -2 + 7z + 8z = 0 Combine like terms: -21 + -2 = -23 -23 + 7z + 8z = 0 Combine like terms: 7z + 8z = 15z -23 + 15z = 0 Solving -23 + 15z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '23' to each side of the equation. -23 + 23 + 15z = 0 + 23 Combine like terms: -23 + 23 = 0 0 + 15z = 0 + 23 15z = 0 + 23 Combine like terms: 0 + 23 = 23 15z = 23 Divide each side by '15'. z = 1.533333333 Simplifying z = 1.533333333
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