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Simplifying 10[z + -1(3z + 11) + 3] = 2(z + 4) Reorder the terms: 10[z + -1(11 + 3z) + 3] = 2(z + 4) 10[z + (11 * -1 + 3z * -1) + 3] = 2(z + 4) 10[z + (-11 + -3z) + 3] = 2(z + 4) Reorder the terms: 10[-11 + 3 + z + -3z] = 2(z + 4) Combine like terms: -11 + 3 = -8 10[-8 + z + -3z] = 2(z + 4) Combine like terms: z + -3z = -2z 10[-8 + -2z] = 2(z + 4) [-8 * 10 + -2z * 10] = 2(z + 4) [-80 + -20z] = 2(z + 4) Reorder the terms: -80 + -20z = 2(4 + z) -80 + -20z = (4 * 2 + z * 2) -80 + -20z = (8 + 2z) Solving -80 + -20z = 8 + 2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2z' to each side of the equation. -80 + -20z + -2z = 8 + 2z + -2z Combine like terms: -20z + -2z = -22z -80 + -22z = 8 + 2z + -2z Combine like terms: 2z + -2z = 0 -80 + -22z = 8 + 0 -80 + -22z = 8 Add '80' to each side of the equation. -80 + 80 + -22z = 8 + 80 Combine like terms: -80 + 80 = 0 0 + -22z = 8 + 80 -22z = 8 + 80 Combine like terms: 8 + 80 = 88 -22z = 88 Divide each side by '-22'. z = -4 Simplifying z = -4
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