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Simplifying 3[z + -1(1 + -2z)] + 2 = -10 3[z + (1 * -1 + -2z * -1)] + 2 = -10 3[z + (-1 + 2z)] + 2 = -10 Reorder the terms: 3[-1 + z + 2z] + 2 = -10 Combine like terms: z + 2z = 3z 3[-1 + 3z] + 2 = -10 [-1 * 3 + 3z * 3] + 2 = -10 [-3 + 9z] + 2 = -10 Reorder the terms: -3 + 2 + 9z = -10 Combine like terms: -3 + 2 = -1 -1 + 9z = -10 Solving -1 + 9z = -10 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 9z = -10 + 1 Combine like terms: -1 + 1 = 0 0 + 9z = -10 + 1 9z = -10 + 1 Combine like terms: -10 + 1 = -9 9z = -9 Divide each side by '9'. z = -1 Simplifying z = -1
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