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Simplifying 5(z + -2) + 4z + -3 = 0 Reorder the terms: 5(-2 + z) + 4z + -3 = 0 (-2 * 5 + z * 5) + 4z + -3 = 0 (-10 + 5z) + 4z + -3 = 0 Reorder the terms: -10 + -3 + 5z + 4z = 0 Combine like terms: -10 + -3 = -13 -13 + 5z + 4z = 0 Combine like terms: 5z + 4z = 9z -13 + 9z = 0 Solving -13 + 9z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + 9z = 0 + 13 Combine like terms: -13 + 13 = 0 0 + 9z = 0 + 13 9z = 0 + 13 Combine like terms: 0 + 13 = 13 9z = 13 Divide each side by '9'. z = 1.444444444 Simplifying z = 1.444444444
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