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Simplifying 7 + -2(4z + -3) = 3z + 1 Reorder the terms: 7 + -2(-3 + 4z) = 3z + 1 7 + (-3 * -2 + 4z * -2) = 3z + 1 7 + (6 + -8z) = 3z + 1 Combine like terms: 7 + 6 = 13 13 + -8z = 3z + 1 Reorder the terms: 13 + -8z = 1 + 3z Solving 13 + -8z = 1 + 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. 13 + -8z + -3z = 1 + 3z + -3z Combine like terms: -8z + -3z = -11z 13 + -11z = 1 + 3z + -3z Combine like terms: 3z + -3z = 0 13 + -11z = 1 + 0 13 + -11z = 1 Add '-13' to each side of the equation. 13 + -13 + -11z = 1 + -13 Combine like terms: 13 + -13 = 0 0 + -11z = 1 + -13 -11z = 1 + -13 Combine like terms: 1 + -13 = -12 -11z = -12 Divide each side by '-11'. z = 1.090909091 Simplifying z = 1.090909091
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