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Simplifying 2 + -6(z + 1) = 4(z + -2) + 10 Reorder the terms: 2 + -6(1 + z) = 4(z + -2) + 10 2 + (1 * -6 + z * -6) = 4(z + -2) + 10 2 + (-6 + -6z) = 4(z + -2) + 10 Combine like terms: 2 + -6 = -4 -4 + -6z = 4(z + -2) + 10 Reorder the terms: -4 + -6z = 4(-2 + z) + 10 -4 + -6z = (-2 * 4 + z * 4) + 10 -4 + -6z = (-8 + 4z) + 10 Reorder the terms: -4 + -6z = -8 + 10 + 4z Combine like terms: -8 + 10 = 2 -4 + -6z = 2 + 4z Solving -4 + -6z = 2 + 4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4z' to each side of the equation. -4 + -6z + -4z = 2 + 4z + -4z Combine like terms: -6z + -4z = -10z -4 + -10z = 2 + 4z + -4z Combine like terms: 4z + -4z = 0 -4 + -10z = 2 + 0 -4 + -10z = 2 Add '4' to each side of the equation. -4 + 4 + -10z = 2 + 4 Combine like terms: -4 + 4 = 0 0 + -10z = 2 + 4 -10z = 2 + 4 Combine like terms: 2 + 4 = 6 -10z = 6 Divide each side by '-10'. z = -0.6 Simplifying z = -0.6
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