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Simplifying 10[z + -1(10z + 14) + 5] = 3z + 3 Reorder the terms: 10[z + -1(14 + 10z) + 5] = 3z + 3 10[z + (14 * -1 + 10z * -1) + 5] = 3z + 3 10[z + (-14 + -10z) + 5] = 3z + 3 Reorder the terms: 10[-14 + 5 + z + -10z] = 3z + 3 Combine like terms: -14 + 5 = -9 10[-9 + z + -10z] = 3z + 3 Combine like terms: z + -10z = -9z 10[-9 + -9z] = 3z + 3 [-9 * 10 + -9z * 10] = 3z + 3 [-90 + -90z] = 3z + 3 Reorder the terms: -90 + -90z = 3 + 3z Solving -90 + -90z = 3 + 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. -90 + -90z + -3z = 3 + 3z + -3z Combine like terms: -90z + -3z = -93z -90 + -93z = 3 + 3z + -3z Combine like terms: 3z + -3z = 0 -90 + -93z = 3 + 0 -90 + -93z = 3 Add '90' to each side of the equation. -90 + 90 + -93z = 3 + 90 Combine like terms: -90 + 90 = 0 0 + -93z = 3 + 90 -93z = 3 + 90 Combine like terms: 3 + 90 = 93 -93z = 93 Divide each side by '-93'. z = -1 Simplifying z = -1
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