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Simplifying 2.54 = -3(z + 15.51) + -10 Reorder the terms: 2.54 = -3(15.51 + z) + -10 2.54 = (15.51 * -3 + z * -3) + -10 2.54 = (-46.53 + -3z) + -10 Reorder the terms: 2.54 = -46.53 + -10 + -3z Combine like terms: -46.53 + -10 = -56.53 2.54 = -56.53 + -3z Solving 2.54 = -56.53 + -3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '3z' to each side of the equation. 2.54 + 3z = -56.53 + -3z + 3z Combine like terms: -3z + 3z = 0 2.54 + 3z = -56.53 + 0 2.54 + 3z = -56.53 Add '-2.54' to each side of the equation. 2.54 + -2.54 + 3z = -56.53 + -2.54 Combine like terms: 2.54 + -2.54 = 0.00 0.00 + 3z = -56.53 + -2.54 3z = -56.53 + -2.54 Combine like terms: -56.53 + -2.54 = -59.07 3z = -59.07 Divide each side by '3'. z = -19.69 Simplifying z = -19.69
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