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Simplifying 7 + 2(3 + -4z) = 7z + (3z + -4) 7 + (3 * 2 + -4z * 2) = 7z + (3z + -4) 7 + (6 + -8z) = 7z + (3z + -4) Combine like terms: 7 + 6 = 13 13 + -8z = 7z + (3z + -4) Reorder the terms: 13 + -8z = 7z + (-4 + 3z) Remove parenthesis around (-4 + 3z) 13 + -8z = 7z + -4 + 3z Reorder the terms: 13 + -8z = -4 + 7z + 3z Combine like terms: 7z + 3z = 10z 13 + -8z = -4 + 10z Solving 13 + -8z = -4 + 10z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-10z' to each side of the equation. 13 + -8z + -10z = -4 + 10z + -10z Combine like terms: -8z + -10z = -18z 13 + -18z = -4 + 10z + -10z Combine like terms: 10z + -10z = 0 13 + -18z = -4 + 0 13 + -18z = -4 Add '-13' to each side of the equation. 13 + -13 + -18z = -4 + -13 Combine like terms: 13 + -13 = 0 0 + -18z = -4 + -13 -18z = -4 + -13 Combine like terms: -4 + -13 = -17 -18z = -17 Divide each side by '-18'. z = 0.9444444444 Simplifying z = 0.9444444444
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