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Simplifying 10[z + -1(9z + 42) + 2] = 5z + 25 Reorder the terms: 10[z + -1(42 + 9z) + 2] = 5z + 25 10[z + (42 * -1 + 9z * -1) + 2] = 5z + 25 10[z + (-42 + -9z) + 2] = 5z + 25 Reorder the terms: 10[-42 + 2 + z + -9z] = 5z + 25 Combine like terms: -42 + 2 = -40 10[-40 + z + -9z] = 5z + 25 Combine like terms: z + -9z = -8z 10[-40 + -8z] = 5z + 25 [-40 * 10 + -8z * 10] = 5z + 25 [-400 + -80z] = 5z + 25 Reorder the terms: -400 + -80z = 25 + 5z Solving -400 + -80z = 25 + 5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5z' to each side of the equation. -400 + -80z + -5z = 25 + 5z + -5z Combine like terms: -80z + -5z = -85z -400 + -85z = 25 + 5z + -5z Combine like terms: 5z + -5z = 0 -400 + -85z = 25 + 0 -400 + -85z = 25 Add '400' to each side of the equation. -400 + 400 + -85z = 25 + 400 Combine like terms: -400 + 400 = 0 0 + -85z = 25 + 400 -85z = 25 + 400 Combine like terms: 25 + 400 = 425 -85z = 425 Divide each side by '-85'. z = -5 Simplifying z = -5
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